Transition to Turbulence in Viscoelastic Channel Flow
Agarwal, A., Brandt, L. and Zaki, T.A.
ElsevierProcedia IUTAM, 2015, Vol. 14, pp. 519-526
[BibTeX]

@article{agarwal2015transition,
  author = {Agarwal, Akshat and Brandt, Luca and Zaki, Tamer A},
  title = {Transition to Turbulence in Viscoelastic Channel Flow},
  journal = {Procedia IUTAM},
  publisher = {Elsevier},
  year = {2015},
  volume = {14},
  pages = {519-526}
}

Linear and nonlinear evolution of a localized disturbance in polymeric channel flow
Agarwal, A., Brandt, L. and Zaki, T.A.
Cambridge University PressJ. Fluid Mech., 2014, Vol. 760, pp. 278-303
[BibTeX]

@article{agarwal2014linear,
  author = {Agarwal, Akshat and Brandt, Luca and Zaki, Tamer A},
  title = {Linear and nonlinear evolution of a localized disturbance in polymeric channel flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {2014},
  volume = {760},
  pages = {278-303}
}

Turbulent spots in plane flow–flow visualization
Alavyoon, F., Henningson, D.S. and Alfredsson, P.H.
AIP PublishingPhys. Fluids), 1986, Vol. 29, pp. 1328-1331
[BibTeX]

@article{alavyoon1986turbulent,
  author = {Alavyoon, Farid and Henningson, Dan S and Alfredsson, P Henrik},
  title = {Turbulent spots in plane Poiseuille flow--flow visualization},
  journal = {Phys. Fluids)},
  publisher = {AIP Publishing},
  year = {1986},
  volume = {29},
  pages = {1328-1331}
}

LAPACK Users’ Guide
Anderson, E., Bai, Z., Bischof, C., Blackford, S., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A. and Sorensen, D.
Society for Industrial and Applied Mathematics, 1999
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@book{lapack,
  author = {Anderson, E. and Bai, Z. and Bischof, C. and Blackford, S. and Demmel, J. and Dongarra, J. and Du Croz, J. and Greenbaum, A. and Hammarling, S. and McKenney, A. and Sorensen, D.},
  title = {LAPACK Users' Guide},
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Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
Ascher, U.M., Ruuth, S.J. and Wetton, B.T.R.
SIAM J. Numer. Anal., 1995, Vol. 32, pp. 797-823
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@article{AscRuuWetSIAM1995,
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  title = {Implicit-Explicit Methods for Time-Dependent Partial Differential Equations},
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Block Operators and Spectral Discretizations
Aurentz, J.L. and Trefethen, L.N.
SIAM Rev., 2017, Vol. 59, pp. 423-446
[BibTeX] [DOI]

@article{AurTreSIAM2017,
  author = {Aurentz, J. L. and Trefethen, L. N.},
  title = {Block Operators and Spectral Discretizations},
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}

Energy amplification in channel flows with stochastic excitation
Bamieh, B. and Dahleh, M.
AIP PublishingPhys. Fluids, 2001, Vol. 13, pp. 3258-3269
[BibTeX]

@article{bamieh2001energy,
  author = {Bamieh, Bassam and Dahleh, Mohammed},
  title = {Energy amplification in channel flows with stochastic excitation},
  journal = {Phys. Fluids},
  publisher = {AIP Publishing},
  year = {2001},
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}

Exact computation of traces and H2 norms for a class of infinite dimensional problems
Bamieh, B. and Dahleh, M.
In American Control Conference, 2000. Proceedings of the 2000, 2000, Vol. 4, pp. 2285-2289
[BibTeX] [DOI]

@inproceedings{878587,
  author = {B. Bamieh and M. Dahleh},
  title = {Exact computation of traces and H2 norms for a class of infinite dimensional problems},
  booktitle = {American Control Conference, 2000. Proceedings of the 2000},
  year = {2000},
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Distributed control of spatially invariant systems
Bamieh, B., Paganini, F. and Dahleh, M.A.
IEEEIEEE Trans. Autom. Control, 2002, Vol. 47, pp. 1091-1107
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@article{bamieh2002distributed,
  author = {Bamieh, Bassam and Paganini, Fernando and Dahleh, Munther A},
  title = {Distributed control of spatially invariant systems},
  journal = {IEEE Trans. Autom. Control},
  publisher = {IEEE},
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}

Analysis of the stability of axisymmetric jets
Batchelor, G.K. and Gill, A.E.
Cambridge University PressJ. Fluid Mech., 1962, Vol. 14, pp. 529-551
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@article{batchelor_gill_1962,
  author = {Batchelor, G. K. and Gill, A. E.},
  title = {Analysis of the stability of axisymmetric jets},
  journal = {J. Fluid Mech.},
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  doi = {https://doi.org/10.1017/S0022112062001421}
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An investigation of turbulent plane Couette flow at low Reynolds numbers
Bech, K.H., Tillmark, N., Alfredsson, P.H. and Andersson, H.I.
Cambridge University PressJ. Fluid Mech., 1995, Vol. 286, pp. 291-325
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@article{bech_tillmark_alfredsson_andersson_1995,
  author = {Bech, Knut H. and Tillmark, Nils and Alfredsson, P. Henrik and Andersson, Helge I.},
  title = {An investigation of turbulent plane Couette flow at low Reynolds numbers},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
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_∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils
Benner, P., Sima, V. and Voigt, M.
IEEE Trans. Autom. Control, 2012, Vol. 57, pp. 233-238
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@article{BennerDescriptor2012,
  author = {P. Benner and V. Sima and M. Voigt},
  title = {ℒ_∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils},
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Two-dimensional elastic turbulence
Berti, S., Bistagnino, A., Boffetta, G., Celani, A. and Musacchio, S.
American Physical SocietyPhys. Rev. Lett., 2008, Vol. 77, pp. 055306
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@article{PhysRevE.77.055306,
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Experimental evidence for an intrinsic route to polymer melt fracture phenomena: A nonlinear instability of viscoelastic Poiseuille flow
Bertola, V., Meulenbroek, B., Wagner, C., Storm, C., Morozov, A.N., van Saarloos, W. and Bonn, D.
APSPhys. Rev. Lett., 2003, Vol. 90, pp. 114502
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@article{bertola2003experimental,
  author = {Bertola, Volfango and Meulenbroek, Bernard and Wagner, Christian and Storm, Cornelis and Morozov, Alexander N and van Saarloos, Wim and Bonn, Daniel},
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Streak instability in viscoelastic Couette flow
Biancofiore, L., Brandt, L. and Zaki, T.A.
American Physical SocietyPhys. Rev. Fluids, 2017, Vol. 2, pp. 043304
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@article{biabrazakPRF2017,
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  title = {Streak instability in viscoelastic Couette flow},
  journal = {Phys. Rev. Fluids},
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  year = {2017},
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}

Dynamics of polymeric liquids, Vol. 2, kinetic theory
Bird, R.B., Curtiss, C.F., Armstrong, R.C. and Hassager, O.
John Wiley and Sons, 1987
[BibTeX]

@book{bird1987dynamics,
  author = {Bird, R. Byron and Curtiss, Charles F. and Armstrong, Robert C. and Hassager, Ole},
  title = {Dynamics of polymeric liquids, Vol. 2, kinetic theory},
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Constitutive equations for polymeric liquids
Bird, R.B. and Wiest, J.M.
Annual Reviews 4139 El Camino Way, PO Box 10139, Palo Alto, CA 94303-0139, USAAnnu. Rev. Fluid Mech., 1995, Vol. 27, pp. 169-193
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@article{bird1995constitutive,
  author = {Bird, R Byron and Wiest, John M},
  title = {Constitutive equations for polymeric liquids},
  journal = {Annu. Rev. Fluid Mech.},
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  year = {1995},
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An influence matrix technique for multi-domain solution of the Navier-Stokes equations in a vorticity-streamfunction formulation
Boguslawski, A. and Kubacki, S.
J. Theoret. App. Mech., 01, 2009, Vol. 47, pp. 17-40
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@article{BoguslawskiJTAM2009,
  author = {Boguslawski, Andrzej and Kubacki, Slawomir},
  title = {An influence matrix technique for multi-domain solution of the Navier-Stokes equations in a vorticity-streamfunction formulation},
  journal = {J. Theoret. App. Mech.},
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Large velocity fluctuations in small–number pipe flow of polymer solutions
Bonn, D., Ingremeau, F., Amarouchene, Y. and Kellay, H.
American Physical SocietyPhys. Rev. E, 2011, Vol. 84, pp. 045301
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@article{Bonn2011,
  author = {Bonn, D. and Ingremeau, F. and Amarouchene, Y. and Kellay, H.},
  title = {Large velocity fluctuations in small-Reynolds-number pipe flow of polymer solutions},
  journal = {Phys. Rev. E},
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  year = {2011},
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The effect of base flow variation on flow stability
Bottaro, A., Corbett, P. and Luchini, P.
Cambridge University PressJ. Fluid Mech., 2003, Vol. 476, pp. 293-302
[BibTeX]

@article{bottaro2003effect,
  author = {Bottaro, Alessandro and Corbett, Peter and Luchini, Paolo},
  title = {The effect of base flow variation on flow stability},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {2003},
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Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues
Bourne, D.
SpringerCont. Mech. Therm., 2003, Vol. 15, pp. 571-579
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@article{bourne2003hydrodynamic,
  author = {Bourne, David},
  title = {Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues},
  journal = {Cont. Mech. Therm.},
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  year = {2003},
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}

Chebyshev and Fourier spectral methods
Boyd, J.P.
Courier Corporation, 2001
[BibTeX]

@book{boy2001,
  author = {Boyd, John P},
  title = {Chebyshev and Fourier spectral methods},
  publisher = {Courier Corporation},
  year = {2001}
}

A bisection method for computing the \(\mathcal H_\infty\) norm of a transfer matrix and related problems
Boyd, S., Balakrishnan, V. and Kabamba, P.
Math. Control Signals Syst., 1989, Vol. 2, pp. 207-219
[BibTeX] [DOI]

@article{Boyd1989,
  author = {Boyd, S. and Balakrishnan, V. and Kabamba, P.},
  title = {A bisection method for computing the ℋ_∞ norm of a transfer matrix and related problems},
  journal = {Math. Control Signals Syst.},
  year = {1989},
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DNS and LST stability analysis of Oldroyd-B fluid in a flow between two parallel plates
Brandi, A.C., Mendonca, M.T. and Souza, L.F.
J. Non-Newtonian Fluid Mech., 2019, Vol. 267, pp. 14-27
[BibTeX] [DOI]

@article{BRANDI201914,
  author = {Brandi, A C and Mendonca, M T and Souza, L F},
  title = {DNS and LST stability analysis of Oldroyd-B fluid in a flow between two parallel plates},
  journal = {J. Non-Newtonian Fluid Mech.},
  year = {2019},
  volume = {267},
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  doi = {https://doi.org/10.1016/j.jnnfm.2019.03.003}
}

Effect of base-flow variation in noise amplifiers: The flat-plate boundary layer
Brandt, L., Sipp, D., Pralits, J.O. and Marquet, O.
Cambridge University PressJ. Fluid Mech., 2011, Vol. 687, pp. 503-528
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@article{brandt2011effect,
  author = {Brandt, Luca and Sipp, Denis and Pralits, Jan O and Marquet, Olivier},
  title = {Effect of base-flow variation in noise amplifiers: The flat-plate boundary layer},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {2011},
  volume = {687},
  pages = {503-528}
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A fast algorithm to compute the 𝓗_∞-norm of a transfer function matrix
Bruinsma, N.A. and Steinbuch, M.
Syst. Control Lett., 1990, Vol. 14, pp. 287-293
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@article{BRUINSMA1990287,
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  journal = {Syst. Control Lett.},
  year = {1990},
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Chaotic flow and efficient mixing in a microchannel with a polymer solution
Burghelea, T., Segre, E., Bar-Joseph, I., Groisman, A. and Steinberg, V.
American Physical SocietyPhys. Rev. E, 2004, Vol. 69, pp. 066305
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@article{PhysRevE.69.066305,
  author = {Burghelea, Teodor and Segre, Enrico and Bar-Joseph, Israel and Groisman, Alex and Steinberg, Victor},
  title = {Chaotic flow and efficient mixing in a microchannel with a polymer solution},
  journal = {Phys. Rev. E},
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Viscous drag reduction in boundary layers
Bushnell, D.M. and Hefner, J.N.
American Institute of Aeronautics and Astronautics, 1990
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@book{bushnell1990viscous,
  author = {Bushnell, Dennis M and Hefner, Jerry N},
  title = {Viscous drag reduction in boundary layers},
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Three-Dimensional Optimal Perturbations in Viscous Shear Flow
Butler, K.M. and Farrell, B.F.
Phys. Fluids A, 1992, Vol. 4, pp. 1637
[BibTeX]

@article{butfar92,
  author = {K. M. Butler and B. F. Farrell},
  title = {Three-Dimensional Optimal Perturbations in Viscous Shear Flow},
  journal = {Phys. Fluids A},
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Three-dimensional optimal perturbations in viscous shear flow
Butler, K.M. and Farrell, B.F.
AIP PublishingPhys. Fluids A, 1992, Vol. 4, pp. 1637-1650
[BibTeX]

@article{butler1992three,
  author = {Butler, Kathryn M and Farrell, Brian F},
  title = {Three-dimensional optimal perturbations in viscous shear flow},
  journal = {Phys. Fluids A},
  publisher = {AIP Publishing},
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Spectral methods in fluid dynamics
Canuto, C., Hussaini, M.Y., Quarteroni, A. and Zang, T.A.
Springer Science and Business Media, 2012
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@book{CanHusQuaTho2012,
  author = {Canuto, Claudio and Hussaini, M Yousuff and Quarteroni, Alfio and Zang, Thomas A},
  title = {Spectral methods in fluid dynamics},
  publisher = {Springer Science and Business Media},
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A flow-visualization study of transition in plane flow
Carlson, D.R., Widnall, S.E. and Peeters, M.F.
Cambridge University PressJ. Fluid Mech., 1982, Vol. 121, pp. 487-505
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@article{carlson1982flow,
  author = {Carlson, Dale R and Widnall, Sheila E and Peeters, Martin F},
  title = {A flow-visualization study of transition in plane Poiseuille flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
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Linear system theory and design
Chen, C.-T.
Oxford University Press, 1998
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@book{chen1998linear,
  author = {Chen, Chi-Tsong},
  title = {Linear system theory and design},
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Polymer Stretching by Turbulence
Chertkov, M.
American Physical SocietyPhys. Rev. Lett., 2000, Vol. 84, pp. 4761-4764
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@article{PhysRevLett.84.4761,
  author = {Chertkov, Michael},
  title = {Polymer Stretching by Turbulence},
  journal = {Phys. Rev. Lett.},
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Creeping flow of dilute polymer solutions past cylinders and spheres
Chilcott, M.D. and Rallison, J.M.
ElsevierJ. Non-Newtonian Fluid Mech., 1988, Vol. 29, pp. 381-432
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@article{chilcott1988creeping,
  author = {Chilcott, M D and Rallison, John M},
  title = {Creeping flow of dilute polymer solutions past cylinders and spheres},
  journal = {J. Non-Newtonian Fluid Mech.},
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A Spectral Solver for the Navier-Stokes Equations in the Velocity-Vorticity Formulation for Flows with Two Nonperiodic Directions
Clercx, H.J.H.
J. Comput. Phys., 1997, Vol. 137, pp. 186-211
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@article{CLERCX1997186,
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Elastic turbulence influences and convective heat transfer within a miniature viscous disk pump
Copeland, D., Ren, C., Su, M. and Ligrani, P.
Int. J. Heat Mass Transfer, 2017, Vol. 108, pp. 1764-1774
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@article{Copeland2017,
  author = {Copeland, Daniel and Ren, Chong and Su, Mengying and Ligrani, Phil},
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Pattern formation outside of equilibrium
Cross, M.C. and Hohenberg, P.C.
APSRev. Mod. Phys., 1993, Vol. 65, pp. 851-1112
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@article{cross1993pattern,
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An introduction to infinite-dimensional linear systems theory
Curtain, R.F. and Zwart, H.
Springer Science and Business Media, 2012
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@book{curtain2012introduction,
  author = {Curtain, Ruth F and Zwart, Hans},
  title = {An introduction to infinite-dimensional linear systems theory},
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The Origin and Nature of Spurious Eigenvalues in the Spectral Tau Method
Dawkins, P.T., Dunbar, S.R. and Douglass, R.W.
J. Comput. Phys., 1998, Vol. 147, pp. 441-462
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@article{DAWKINS1998441,
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Analysis of transport phenomena
Deen, W.M.
Oxford University Press, 1998
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@book{deen1998analysis,
  author = {Deen, William M},
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Extrusion instabilities and wall slip
Denn, M.M.
Annual ReviewsAnnu. Rev. Fluid Mech., 2001, Vol. 33, pp. 265-287
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@article{denn2001extrusion,
  author = {Denn, Morton M},
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Pressure and time treatment for Chebyshev spectral solution of a Stokes problem
Deville, M., Kleiser, L. and Montigny‐Rannou, F.
Int. J. Numer. Methods Fluids, 1984, Vol. 4, pp. 1149-1163
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@article{Devile_Kleiser_1984,
  author = {M. Deville and L. Kleiser and F. Montigny‐Rannou},
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Direct numerical simulation of viscoelastic turbulent channel flow exhibiting drag reduction: Effect of the variation of rheological parameters
Dimitropoulos, C.D., Sureshkumar, R. and Beris, A.N.
ElsevierJ. Non-Newtonian Fluid Mech., 1998, Vol. 79, pp. 433-468
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@article{dimitropoulos1998direct,
  author = {Dimitropoulos, Costas D and Sureshkumar, R and Beris, Antony N},
  title = {Direct numerical simulation of viscoelastic turbulent channel flow exhibiting drag reduction: Effect of the variation of rheological parameters},
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Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow
Dimitropoulos, C.D., Sureshkumar, R., Beris, A.N. and Handler, R.A.
Phys. Fluids, 2001, Vol. 13, pp. 1016-1027
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@article{SurBerPOF2001,
  author = {Dimitropoulos, Costas D. and Sureshkumar, R. and Beris, Antony N. and Handler, Robert A.},
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  journal = {Phys. Fluids},
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Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems
Dongarra, J.J., Straughan, B. and Walker, D.W.
App. Numer. Math., 1996, Vol. 22, pp. 399-434
[BibTeX] [DOI]

@article{DONGARRA1996399,
  author = {J. J. Dongarra and B. Straughan and D. W. Walker},
  title = {Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems},
  journal = {App. Numer. Math.},
  year = {1996},
  volume = {22},
  pages = {399-434},
  doi = {https://doi.org/10.1016/S0168-9274(96)00049-9}
}

Laminar-turbulent transition in pipe flow for Newtonian and non-Newtonian fluids
Draad, A.A., Kuiken, G.D.C. and Nieuwstadt, F.T.M.
Cambridge University PressJ. Fluid Mech., 1998, Vol. 377, pp. 267-312
[BibTeX] [DOI]

@article{draad_kuiken_nieuwstadt_1998,
  author = {Draad, A. A. and Kuiken, G. D. C. and Nieuwstadt, F. T. M.},
  title = {Laminar-turbulent transition in pipe flow for Newtonian and non-Newtonian fluids},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1998},
  volume = {377},
  pages = {267-312},
  doi = {https://doi.org/10.1017/S0022112098003139}
}

An introduction to hydrodynamic stability theory
Drazin, P. and Reid, W.
Cambridge University Press, 1980
[BibTeX]

@book{drazin1980introduction,
  author = {Drazin, PG and Reid, WH},
  title = {An introduction to hydrodynamic stability theory},
  publisher = {Cambridge University Press},
  year = {1980}
}

Hydrodynamic stability
Drazin, P.G. and Reid, W.H.
Cambridge University Press, 2004
[BibTeX]

@book{drazin2004hydrodynamic,
  author = {Drazin, Philip G and Reid, William Hill},
  title = {Hydrodynamic stability},
  publisher = {Cambridge University Press},
  year = {2004}
}

Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations
Driscoll, T.A.
ElsevierJ. Comput. Phys., 2010, Vol. 229, pp. 5980-5998
[BibTeX]

@article{driscoll2010automatic,
  author = {Driscoll, Tobin A},
  title = {Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations},
  journal = {J. Comput. Phys.},
  publisher = {Elsevier},
  year = {2010},
  volume = {229},
  pages = {5980-5998}
}

Rectangular spectral collocation
Driscoll, T.A. and Hale, N.
Oxford University PressIMA J. Numer. Anal., 2015, Vol. 36, pp. 108-132
[BibTeX]

@article{DriHalIMA2015,
  author = {Driscoll, Tobin A and Hale, Nicholas},
  title = {Rectangular spectral collocation},
  journal = {IMA J. Numer. Anal.},
  publisher = {Oxford University Press},
  year = {2015},
  volume = {36},
  pages = {108-132}
}

Chebfun guide
Driscoll, T.A., Hale, N. and Trefethen, L.N.
Pafnuty Publications, Oxford, 2014
[BibTeX]

@misc{Driscoll2014a,
  author = {Driscoll, Tobin A and Hale, Nicholas and Trefethen, Lloyd N},
  title = {Chebfun guide},
  publisher = {Pafnuty Publications, Oxford},
  year = {2014}
}

Chebfun guide
Driscoll, T.A., Hale, N. and Trefethen, L.N.
Pafnuty Publications, 2014
[BibTeX]

@book{driscoll2014chebfun,
  author = {Driscoll, Tobin A and Hale, Nicholas and Trefethen, Lloyd N},
  title = {Chebfun guide},
  publisher = {Pafnuty Publications},
  year = {2014}
}

On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation
Du, K.
SIAM J. Sci. Comp., 2016, Vol. 38, pp. A3247-A3263
[BibTeX] [DOI]

@article{DuSIAM2016,
  author = {Kui Du},
  title = {On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation},
  journal = {SIAM J. Sci. Comp.},
  year = {2016},
  volume = {38},
  pages = {A3247-A3263},
  doi = {https://doi.org/10.1137/15M1046629}
}

Suppressing wall turbulence by means of a transverse traveling wave
Du, Y. and Karniadakis, G.E.
American Association for the Advancement of ScienceScience, 2000, Vol. 288, pp. 1230-1234
[BibTeX]

@article{du2000suppressing,
  author = {Du, Yiqing and Karniadakis, George Em},
  title = {Suppressing wall turbulence by means of a transverse traveling wave},
  journal = {Science},
  publisher = {American Association for the Advancement of Science},
  year = {2000},
  volume = {288},
  pages = {1230-1234}
}

Drag reduction in wall-bounded turbulence via a transverse travelling wave
Du, Y., Symeonidis, V. and Karniadakis, G.E.
Cambridge Univ PressJ. Fluid Mech., 2002, Vol. 457, pp. 1-34
[BibTeX]

@article{du2002drag,
  author = {Du, Yiqing and Symeonidis, V and Karniadakis, G E},
  title = {Drag reduction in wall-bounded turbulence via a transverse travelling wave},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge Univ Press},
  year = {2002},
  volume = {457},
  pages = {1-34}
}

LDA measurements in the near-wall region of a turbulent pipe flow
Durst, F., Jovanović, J. and Sender, J.
Cambridge University PressJ. Fluid Mech., 1995, Vol. 295, pp. 305-335
[BibTeX] [DOI]

@article{durst_jovanović_sender_1995,
  author = {Durst, F. and Jovanović, J. and Sender, J.},
  title = {LDA measurements in the near-wall region of a turbulent pipe flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1995},
  volume = {295},
  pages = {305-335},
  doi = {https://doi.org/10.1017/S0022112095001984}
}

Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices
Elgindy, K.T. and Smith-Miles, K.A.
ElsevierJ. Comp. App. Math., 2013, Vol. 237, pp. 307-325
[BibTeX]

@article{ElgSmiJCAM2013,
  author = {Elgindy, Kareem T and Smith-Miles, Kate A},
  title = {Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices},
  journal = {J. Comp. App. Math.},
  publisher = {Elsevier},
  year = {2013},
  volume = {237},
  pages = {307-325}
}

Stochastic forcing of the linearized Navier-Stokes equations
Farrell, B.F. and Ioannou, P.J.
AIPPhys. Fluids A, 1993, Vol. 5, pp. 2600-2609
[BibTeX]

@article{farrell1993stochastic,
  author = {Farrell, Brian F and Ioannou, Petros J},
  title = {Stochastic forcing of the linearized Navier-Stokes equations},
  journal = {Phys. Fluids A},
  publisher = {AIP},
  year = {1993},
  volume = {5},
  pages = {2600-2609}
}

Smooth Random Functions, Random ODEs, and Gaussian Processes
Filip, S., Javeed, A. and Trefethen, L.N.
SIAM Rev., 2019, Vol. 61, pp. 185-205
[BibTeX] [DOI]

@article{randnfun,
  author = {Filip, Silviu. and Javeed, Aurya. and Trefethen, Lloyd N.},
  title = {Smooth Random Functions, Random ODEs, and Gaussian Processes},
  journal = {SIAM Rev.},
  year = {2019},
  volume = {61},
  pages = {185-205},
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https://doi.org/10.1137/17M1161853
}, doi = {https://doi.org/10.1137/17M1161853} }

Observations of early turbulence in the pipe flow of drag reducing polymer solutions
Forame, P.C., Hansen, R.J. and Little, R.C.
AIChE J., 1972, Vol. 18, pp. 213-217
[BibTeX] [DOI]

@article{ForameHansenLittle1972,
  author = {Forame, P. C. and Hansen, R. J. and Little, R. C.},
  title = {Observations of early turbulence in the pipe flow of drag reducing polymer solutions},
  journal = {AIChE J.},
  year = {1972},
  volume = {18},
  pages = {213-217},
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}

The Design and Implementation of FFTW3
Frigo, M. and Johnson, S.G.
Proceedings of the IEEE, 2005, Vol. 93, pp. 216-231
[BibTeX]

@article{FFTW05,
  author = {Frigo, Matteo and Johnson, Steven G.},
  title = {The Design and Implementation of FFTW3},
  journal = {Proceedings of the IEEE},
  year = {2005},
  volume = {93},
  pages = {216-231}
}

The LMI control toolbox
Gahinet, P.M., Nemirovskii, A., Laub, A.J. and Chilali, M.
In IEEE Conference on Decision and Control, 1994, Vol. 2, pp. 2038-2038
[BibTeX]

@inproceedings{gahinet1994lmi,
  author = {Gahinet, P M and Nemirovskii, Arkadii and Laub, Alan J and Chilali, Mahmoud},
  title = {The LMI control toolbox},
  booktitle = {IEEE Conference on Decision and Control},
  year = {1994},
  volume = {2},
  pages = {2038-2038}
}

A modified tau spectral method that eliminates spurious eigenvalues
Gardner, D.R., Trogdon, S.A. and Douglass, R.W.
J. Comput. Phys., 1989, Vol. 80, pp. 137-167
[BibTeX] [DOI]

@article{GARDNER1989137,
  author = {David R Gardner and Steven A Trogdon and Rod W Douglass},
  title = {A modified tau spectral method that eliminates spurious eigenvalues},
  journal = {J. Comput. Phys.},
  year = {1989},
  volume = {80},
  pages = {137-167},
  url = {http://www.sciencedirect.com/science/article/pii/0021999189900934},
  doi = {https://doi.org/10.1016/0021-9991(89)90093-4}
}

A modified-Tau spectral method that eliminates spurious eigenvalues
Gardner, D.R., Trogdon, S.A. and Douglass, R.W.
J. Comp. Phys., 1989, Vol. 80, pp. 137-167
[BibTeX] [DOI]

@article{GarTroDouJCP1989,
  author = {David R Gardner and Steven A Trogdon and Rod W Douglass},
  title = {A modified-Tau spectral method that eliminates spurious eigenvalues},
  journal = {J. Comp. Phys.},
  year = {1989},
  volume = {80},
  pages = {137-167},
  doi = {https://doi.org/10.1016/0021-9991(89)90093-4}
}

Viscoelastic Pipe Flow is Linearly Unstable
Garg, P., Chaudhary, I., Khalid, M., Shankar, V. and Subramanian, G.
American Physical SocietyPhys. Rev. Lett., 2018, Vol. 121, pp. 024502
[BibTeX] [DOI]

@article{GarChaKhaShaSubPRL2018,
  author = {Garg, Piyush and Chaudhary, Indresh and Khalid, Mohammad and Shankar, V. and Subramanian, Ganesh},
  title = {Viscoelastic Pipe Flow is Linearly Unstable},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2018},
  volume = {121},
  pages = {024502},
  doi = {https://doi.org/10.1103/PhysRevLett.121.024502}
}

Channelflow: A spectral Navier-Stokes simulator in C
Gibson, J.F.
J. F. GibsonUniversity of New HampshireUniversity of New Hampshire, 2014
[BibTeX]

@techreport{channelflow,
  author = {J. F. Gibson},
  title = {Channelflow: A spectral Navier-Stokes simulator in C++},
  publisher = {J. F. Gibson},
  institution = {University of New Hampshire},
  school = {University of New Hampshire},
  year = {2014},
  note = {tt Channelflow.org}
}

Visualizing the geometry of state space in plane Couette flow
Gibson, J.F., Halcrow, J. and Cvitanović, P.
J.Fluid Mech., 2008, Vol. 611, pp. 107-130
[BibTeX]

@article{gibhalcviJFM2008,
  author = {J. F. Gibson and J. Halcrow and P. Cvitanović},
  title = {Visualizing the geometry of state space in plane Couette flow},
  journal = {J. Fluid Mech.},
  year = {2008},
  volume = {611},
  pages = {107-130}
}

Chebyshev Expansions
Gil, A., Segura, J. and Temme, N.M.
Society for Industrial and Applied MathematicsIn Numerical methods for special functions, 2007, pp. 51-86
[BibTeX] [DOI]

@incollection{chebExpanExact,
  author = {Gil, Amparo. and Segura, Javier. and Temme, Nico M.},
  title = {Chebyshev Expansions},
  booktitle = {Numerical methods for special functions},
  publisher = {Society for Industrial and Applied Mathematics},
  year = {2007},
  pages = {51-86},
  url = {https://epubs.siam.org/doi/abs/10.1137/1.9780898717822.ch3},
  doi = {https://doi.org/10.1137/1.9780898717822.ch3}
}

Numerical methods for special functions
Gil, A., Segura, J. and Temme, N.M.
Society for Industrial and Applied Mathematics, 2007
[BibTeX] [DOI]

@book{chebExpan,
  author = {Gil, Amparo. and Segura, Javier. and Temme, Nico M.},
  title = {Numerical methods for special functions},
  publisher = {Society for Industrial and Applied Mathematics},
  year = {2007},
  url = {https://epubs.siam.org/doi/abs/10.1137/1.9780898717822},
  doi = {https://doi.org/10.1137/1.9780898717822}
}

Hydrodynamics and nonlinear instabilities
Godrèche, C., Manneville, P. and Castaing, B.
Cambridge University Press, 2005
[BibTeX]

@book{godreche2005hydrodynamics,
  author = {Godrèche, Claude and Manneville, Paul and Castaing, Bernard},
  title = {Hydrodynamics and nonlinear instabilities},
  publisher = {Cambridge University Press},
  year = {2005}
}

Turbulent and Transition Pipe Flow of Dilute Aqueous Polymer Solutions
Goldstein, R.J., Adrian, R.J. and Kreid, D.K.
Ind. Eng. Chem. Fund., 1969, Vol. 8, pp. 498-502
[BibTeX] [DOI]

@article{Goldstein1969,
  author = {Goldstein, R. J. and Adrian, R. J. and Kreid, D. K.},
  title = {Turbulent and Transition Pipe Flow of Dilute Aqueous Polymer Solutions},
  journal = {Ind. Eng. Chem. Fund.},
  year = {1969},
  volume = {8},
  pages = {498-502},
  doi = {https://doi.org/10.1021/i160031a021}
}

Calculating the Singular Values and Pseudo-Inverse of a Matrix
Golub, G. and Kahan, W.
J. Soc. Ind. App. Math. B Numer. Anal., 1965, Vol. 2, pp. 205-224
[BibTeX] [DOI]

@article{GolKahSIAM1965,
  author = {Golub, G. and Kahan, W.},
  title = {Calculating the Singular Values and Pseudo-Inverse of a Matrix},
  journal = {J. Soc. Ind. App. Math. B Numer. Anal.},
  year = {1965},
  volume = {2},
  pages = {205-224},
  doi = {https://doi.org/10.1137/0702016}
}

Matrix computations
Golub, G.H. and Van Loan, C.F.
JHU Press, 2012
[BibTeX]

@book{golub2012matrix,
  author = {Golub, Gene H and Van Loan, Charles F},
  title = {Matrix computations},
  publisher = {JHU Press},
  year = {2012}
}

On a linear instability of a plane parallel Couette flow of viscoelastic fluid
Gorodtsov, V.A. and Leonov, A.I.
J. Appl. Math. Mech., 1967, Vol. 31, pp. 310-319
[BibTeX] [DOI]

@article{gorleoJAMM1967,
  author = {Gorodtsov, V A and Leonov, A I},
  title = {On a linear instability of a plane parallel Couette flow of viscoelastic fluid},
  journal = {J. Appl. Math. Mech.},
  year = {1967},
  volume = {31},
  pages = {310-319},
  doi = {https://doi.org/10.1016/0021-8928(67)90156-6}
}

Models of Incompressible Fluid Dynamics
Gottlieb, D. and Orszag, S.A.
Society for Industrial and Applied MathematicsIn Numerical analysis of spectral methods, 1977, pp. 143-148
[BibTeX] [DOI]

@incollection{OrszagBook,
  author = {Gottlieb, David. and Orszag, Steven A.},
  title = {Models of Incompressible Fluid Dynamics},
  booktitle = {Numerical analysis of spectral methods},
  publisher = {Society for Industrial and Applied Mathematics},
  year = {1977},
  pages = {143-148},
  url = {https://epubs.siam.org/doi/abs/10.1137/1.9781611970425.ch13},
  doi = {https://doi.org/10.1137/1.9781611970425.ch13}
}

Numerical analysis of spectral methods: Theory and applications
Gottlieb, D. and Orszag, S.A.
Society for Industrial and Applied Mathematics, 1977
[BibTeX]

@book{gotorsSIAM1997,
  author = {Gottlieb, David and Orszag, Steven A},
  title = {Numerical analysis of spectral methods: Theory and applications},
  publisher = {Society for Industrial and Applied Mathematics},
  year = {1977}
}

Effect of axial flow on viscoelastic Taylor–Couette instability
Graham, M.D.
Cambridge University PressJ. Fluid Mech., 1998, Vol. 360, pp. 341-374
[BibTeX]

@article{GraJFM1998,
  author = {Graham, M. D.},
  title = {Effect of axial flow on viscoelastic Taylor--Couette instability},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1998},
  volume = {360},
  pages = {341-374}
}

Modeling and analysis principles for chemical and biological engineers
Graham, M.D. and Rawlings, J.B.
Nob Hill Publishing, 2013
[BibTeX]

@book{graham2013modeling,
  author = {Graham, Michael D and Rawlings, James Blake},
  title = {Modeling and analysis principles for chemical and biological engineers},
  publisher = {Nob Hill Publishing},
  year = {2013}
}

Spectral Integration and Two-Point Boundary Value Problems
Greengard, L.
SIAM J. Numer. Anal., 1991, Vol. 28, pp. 1071-1080
[BibTeX] [DOI]

@article{GreSIAM91,
  author = {L. Greengard},
  title = {Spectral Integration and Two-Point Boundary Value Problems},
  journal = {SIAM J. Numer. Anal.},
  year = {1991},
  volume = {28},
  pages = {1071-1080},
  doi = {https://doi.org/10.1137/0728057}
}

On pressure boundary conditions for the incompressible Navier-Stokes equations
Gresho, P.M. and Sani, R.L.
Int. J. Numer. Meth. Fluids, 1987, Vol. 7, pp. 1111-1145
[BibTeX] [DOI]

@article{pressBCincom,
  author = {Gresho, Philip M. and Sani, Robert L.},
  title = {On pressure boundary conditions for the incompressible Navier-Stokes equations},
  journal = {Int. J. Numer. Meth. Fluids},
  year = {1987},
  volume = {7},
  pages = {1111-1145},
  doi = {https://doi.org/10.1002/fld.1650071008}
}

Transition to Turbulence and Mixing in a Viscoelastic Fluid Flowing Inside a Channel with a Periodic Array of Cylindrical Obstacles
Grilli, M., Vázquez-Quesada, A. and Ellero, M.
American Physical SocietyPhys. Rev. Lett., 2013, Vol. 110, pp. 174501
[BibTeX] [DOI]

@article{Marco2013,
  author = {Grilli, Muzio and Vázquez-Quesada, Adolfo and Ellero, Marco},
  title = {Transition to Turbulence and Mixing in a Viscoelastic Fluid Flowing Inside a Channel with a Periodic Array of Cylindrical Obstacles},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {174501},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.110.174501},
  doi = {https://doi.org/10.1103/PhysRevLett.110.174501}
}

Transition to Turbulence and Mixing in a Viscoelastic Fluid Flowing Inside a Channel with a Periodic Array of Cylindrical Obstacles
Grilli, M., Vázquez-Quesada, A. and Ellero, M.
American Physical SocietyPhys. Rev. Lett., 2013, Vol. 110, pp. 174501
[BibTeX] [DOI]

@article{PhysRevLett.110.174501,
  author = {Grilli, Muzio and Vázquez-Quesada, Adolfo and Ellero, Marco},
  title = {Transition to Turbulence and Mixing in a Viscoelastic Fluid Flowing Inside a Channel with a Periodic Array of Cylindrical Obstacles},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2013},
  volume = {110},
  pages = {174501},
  doi = {https://doi.org/10.1103/PhysRevLett.110.174501}
}

Microfluidic memory and control devices
Groisman, A., Enzelberger, M. and Quake, S.R.
American Association for the Advancement of ScienceScience, 2003, Vol. 300, pp. 955-958
[BibTeX]

@article{groisman2003microfluidic,
  author = {Groisman, Alexander and Enzelberger, Markus and Quake, Stephen R},
  title = {Microfluidic memory and control devices},
  journal = {Science},
  publisher = {American Association for the Advancement of Science},
  year = {2003},
  volume = {300},
  pages = {955-958}
}

A microfluidic rectifier: Anisotropic flow resistance at low numbers
Groisman, A. and Quake, S.R.
APSPhys. Rev. Lett., 2004, Vol. 92, pp. 094501
[BibTeX]

@article{groisman2004microfluidic,
  author = {Groisman, Alexander and Quake, Stephen R},
  title = {A microfluidic rectifier: Anisotropic flow resistance at low Reynolds numbers},
  journal = {Phys. Rev. Lett.},
  publisher = {APS},
  year = {2004},
  volume = {92},
  pages = {094501}
}

Elastic turbulence in curvilinear flows of polymer solutions
Groisman, A. and Steinberg, V.
IOP PublishingNew J. Phys., 2004, Vol. 6, pp. 29
[BibTeX]

@article{groisman2004elastic,
  author = {Groisman, Alexander and Steinberg, Victor},
  title = {Elastic turbulence in curvilinear flows of polymer solutions},
  journal = {New J. Phys.},
  publisher = {IOP Publishing},
  year = {2004},
  volume = {6},
  pages = {29}
}

Elastic turbulence in a polymer solution flow
Groisman, A. and Steinberg, V.
Nature Publishing GroupNature, 2000, Vol. 405, pp. 53-55
[BibTeX]

@article{groisman2000elastic,
  author = {Groisman, Alexander and Steinberg, Victor},
  title = {Elastic turbulence in a polymer solution flow},
  journal = {Nature},
  publisher = {Nature Publishing Group},
  year = {2000},
  volume = {405},
  pages = {53-55}
}

The onset of shear flow turbulence
Grossmann, S.
American Physical SocietyRev. Mod. Phys., 2000, Vol. 72, pp. 603-618
[BibTeX] [DOI]

@article{grossman2000,
  author = {Grossmann, Siegfried},
  title = {The onset of shear flow turbulence},
  journal = {Rev. Mod. Phys.},
  publisher = {American Physical Society},
  year = {2000},
  volume = {72},
  pages = {603-618},
  doi = {https://doi.org/10.1103/RevModPhys.72.603}
}

Eigen v3
Guennebaud, G., Jacob, B. and others
, http:eigen.tuxfamily.org, 2010
[BibTeX]

@misc{eigenweb,
  author = {Gaël Guennebaud and Benoît Jacob and others},
  title = {Eigen v3},
  year = {2010}
}

Two-dimensional homogeneous isotropic fluid turbulence with polymer additives
Gupta, A., Perlekar, P. and Pandit, R.
American Physical SocietyPhys. Rev. E, 2015, Vol. 91, pp. 033013
[BibTeX] [DOI]

@article{PhysRevE.91.033013,
  author = {Gupta, Anupam and Perlekar, Prasad and Pandit, Rahul},
  title = {Two-dimensional homogeneous isotropic fluid turbulence with polymer additives},
  journal = {Phys. Rev. E},
  publisher = {American Physical Society},
  year = {2015},
  volume = {91},
  pages = {033013},
  doi = {https://doi.org/10.1103/PhysRevE.91.033013}
}

Vortex Breakdown
Hall, M.G.
Annu. Rev. Fluid Mech., 1972, Vol. 4, pp. 195-218
[BibTeX] [DOI]

@article{HallVortex,
  author = {M G Hall},
  title = {Vortex Breakdown},
  journal = {Annu. Rev. Fluid Mech.},
  year = {1972},
  volume = {4},
  pages = {195-218},
  doi = {https://doi.org/10.1146/annurev.fl.04.010172.001211}
}

Regeneration mechanisms of near-wall turbulence structures
Hamilton, J.M., Kim, J. and Waleffe, F.
Cambridge University PressJ. Fluid Mech., 1995, Vol. 287, pp. 317-348
[BibTeX] [DOI]

@article{hamilton_kim_waleffe_1995,
  author = {Hamilton, James M. and Kim, John and Waleffe, Fabian},
  title = {Regeneration mechanisms of near-wall turbulence structures},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1995},
  volume = {287},
  pages = {317-348},
  doi = {https://doi.org/10.1017/S0022112095000978}
}

Early turbulence and drag reduction phenomena in larger pipes
Hansen, R.J. and Little, R.C.
Nature, 1974, Vol. 252, pp. 690
[BibTeX] [DOI]

@article{HANSEN1974,
  author = {Hansen, R J and Little, R C},
  title = {Early turbulence and drag reduction phenomena in larger pipes},
  journal = {Nature},
  year = {1974},
  volume = {252},
  pages = {690},
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}

EXPERIMENTAL AND THEORETICAL STUDIES OF EARLY TURBULENCE
Hansen, R.J., Little, R.C. and Forame, P.G.
J. Chem. Eng. Japan, 1973, Vol. 6, pp. 310-314
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@article{TheoryEarlyTurb,
  author = {Robert J. Hansen and Ralph C. Little and Peter G. Forame},
  title = {EXPERIMENTAL AND THEORETICAL STUDIES OF EARLY TURBULENCE},
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  year = {1973},
  volume = {6},
  pages = {310-314},
  doi = {https://doi.org/10.1252/jcej.6.310}
}

Transition to elastic turbulence in channel flows
Hariharan, G.
University of MinnesotaUniversity of Minnesota
[BibTeX]

@phdthesis{gokul-phd20,
  author = {G. Hariharan},
  title = {Transition to elastic turbulence in channel flows},
  institution = {University of Minnesota},
  school = {University of Minnesota}
}

Well-conditioned ultraspherical and spectral integration methods for resolvent analysis of channel flows of Newtonian and viscoelastic fluids
Hariharan, G., R. Jovanović, M. and Kumar, S.

[BibTeX]

@article{HarJovKum2019,
  author = {Hariharan, Gokul and R. Jovanović, Mihailo and Kumar, Satish},
  title = {Well-conditioned ultraspherical and spectral integration methods for resolvent analysis of channel flows of Newtonian and viscoelastic fluids},
  note = {In preparation}
}

A mechanism for bypass transition from localized disturbances in wall-bounded shear flows
Henningson, D.S., Lundbladh, A. and Johansson, A.V.
Cambridge University PressJ. Fluid Mech., 1993, Vol. 250, pp. 169-207
[BibTeX] [DOI]

@article{henningson_lundbladh_johansson_1993,
  author = {Henningson, Dan S. and Lundbladh, Anders and Johansson, Arne V.},
  title = {A mechanism for bypass transition from localized disturbances in wall-bounded shear flows},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1993},
  volume = {250},
  pages = {169-207},
  doi = {https://doi.org/10.1017/S0022112093001429}
}

A mechanism for bypass transition from localized disturbances in wall-bounded shear flows
Henningson, D.S., Lundbladh, A. and Johansson, A.V.
Cambridge Univ PressJ. Fluid Mech., 1993, Vol. 250, pp. 169-207
[BibTeX]

@article{henningson1993mechanism,
  author = {Henningson, Dan S and Lundbladh, Anders and Johansson, Arne V},
  title = {A mechanism for bypass transition from localized disturbances in wall-bounded shear flows},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge Univ Press},
  year = {1993},
  volume = {250},
  pages = {169-207}
}

Linear systems theory
Hespanha, J.P.
Princeton University Press, 2009
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@book{hespanha2009linear,
  author = {Hespanha, Joao P},
  title = {Linear systems theory},
  publisher = {Princeton University Press},
  year = {2009}
}

The scaling and squaring method for the matrix exponential revisited
Higham, N.J.
SIAMSIAM J. Matrix Anal. Appl., 2005, Vol. 26, pp. 1179-1193
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@article{higham2005scaling,
  author = {Higham, Nicholas J},
  title = {The scaling and squaring method for the matrix exponential revisited},
  journal = {SIAM J. Matrix Anal. Appl.},
  publisher = {SIAM},
  year = {2005},
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}

Perturbation methods
Hinch, E.J.
Cambridge University Press, 1991
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@book{hinch1991perturbation,
  author = {Hinch, E John},
  title = {Perturbation methods},
  publisher = {Cambridge University Press},
  year = {1991}
}

Stability of plane Poiseuille flow of a highly elastic liquid
Ho, T.C. and Denn, M.M.
J. Non-Newtonian Fluid Mech., 1977, Vol. 3, pp. 179-195
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@article{HoDennJNNFM1977,
  author = {Teh Chung Ho and Morton M. Denn},
  title = {Stability of plane Poiseuille flow of a highly elastic liquid},
  journal = {J. Non-Newtonian Fluid Mech.},
  year = {1977},
  volume = {3},
  pages = {179-195},
  doi = {https://doi.org/10.1016/0377-0257(77)80048-7}
}

Scaling of the Turbulence Transition Threshold in a Pipe
Hof, B., Juel, A. and Mullin, T.
American Physical SocietyPhys. Rev. Lett., Dec, 2003, Vol. 91, pp. 244502
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@article{HofJueMulPRL2003,
  author = {Hof, B. and Juel, A. and Mullin, T.},
  title = {Scaling of the Turbulence Transition Threshold in a Pipe},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2003},
  volume = {91},
  pages = {244502},
  doi = {https://doi.org/10.1103/PhysRevLett.91.244502}
}

Introduction to perturbation methods
Holmes, M.H.
Springer Science and Business Media, 2012
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@book{holmes2012introduction,
  author = {Holmes, Mark H},
  title = {Introduction to perturbation methods},
  publisher = {Springer Science and Business Media},
  year = {2012}
}

An efficient fully implicit spectral scheme for DNS of turbulent viscoelastic channel flow
Housiadas, K.D. and Beris, A.N.
J. Non-Newtonian Fluid Mech., 2004, Vol. 122, pp. 243-262
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@article{HOUSIADAS2004243,
  author = {Kostas D. Housiadas and Antony N. Beris},
  title = {An efficient fully implicit spectral scheme for DNS of turbulent viscoelastic channel flow},
  journal = {J. Non-Newtonian Fluid Mech.},
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  volume = {122},
  pages = {243-262},
  doi = {https://doi.org/10.1016/j.jnnfm.2004.07.001}
}

Open shear flow instabilities
Huerre, P.
Cambridge University PressIn Perspectives in fluid dynamics, 2000, pp. 159-229
[BibTeX]

@incollection{huerre2000open,
  author = {Huerre, Patrick},
  title = {Open shear flow instabilities},
  booktitle = {Perspectives in fluid dynamics},
  publisher = {Cambridge University Press},
  year = {2000},
  pages = {159-229}
}

High Flux Heat Removal with Microchannels - Roadmap of Challenges and Opportunities
Kandlikar, S.G.
Heat Trans. Eng., 2005, Vol. 26, pp. 5-14
[BibTeX] [DOI]

@article{doi:10.1080/01457630591003655,
  author = {Satish G. Kandlikar},
  title = {High Flux Heat Removal with Microchannels - A Roadmap of Challenges and Opportunities},
  journal = {Heat Trans. Eng.},
  year = {2005},
  volume = {26},
  pages = {5-14},
  doi = {https://doi.org/10.1080/01457630591003655}
}

Microelectromechanical systems-based feedback control of turbulence for skin friction reduction
Kasagi, N., Suzuki, Y. and Fukagata, K.
Annual ReviewsAnnu. Rev. Fluid Mech., 2009, Vol. 41, pp. 231-251
[BibTeX]

@article{kasagi2009microelectromechanical,
  author = {Kasagi, Nobuhide and Suzuki, Yuji and Fukagata, Koji},
  title = {Microelectromechanical systems-based feedback control of turbulence for skin friction reduction},
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  publisher = {Annual Reviews},
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FEAST eigensolver for non-Hermitian problems
Kestyn, J., Polizzi, E. and Peter Tang, P.T.
SIAMSIAM J. Sci. Comp., 2016, Vol. 38, pp. S772-S799
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@article{FEAST,
  author = {Kestyn, James and Polizzi, Eric and Peter Tang, Ping Tak},
  title = {FEAST eigensolver for non-Hermitian problems},
  journal = {SIAM J. Sci. Comp.},
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  year = {2016},
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  pages = {S772-S799}
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Nonlinear Systems
Khalil, H.K.
Prentice Hall, 2001
[BibTeX]

@book{khalil1996nonlinear,
  author = {Khalil, Hassan K.},
  title = {Nonlinear Systems},
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A Chebyshev spectral collocation method using a staggered grid for the stability of cylindrical flows
Khorrami, M.R.
Wiley Online LibraryInt. J. Num. Meth. Fluids, 1991, Vol. 12, pp. 825-833
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@article{khorrami1991chebyshev,
  author = {Khorrami, Mehdi R},
  title = {A Chebyshev spectral collocation method using a staggered grid for the stability of cylindrical flows},
  journal = {Int. J. Num. Meth. Fluids},
  publisher = {Wiley Online Library},
  year = {1991},
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}

Application of spectral collocation techniques to the stability of swirling flows
Khorrami, M.R., Malik, M.R. and Ash, R.L.
J. Comput. Phys., 1989, Vol. 81, pp. 206-229
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@article{KHORRAMI1989206,
  author = {Mehdi R Khorrami and Mujeeb R Malik and Robert L Ash},
  title = {Application of spectral collocation techniques to the stability of swirling flows},
  journal = {J. Comput. Phys.},
  year = {1989},
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  pages = {206-229},
  doi = {https://doi.org/10.1016/0021-9991(89)90071-5}
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Turbulence statistics in fully developed channel flow at low Reynolds number
Kim, J., Moin, P. and Moser, R.
Cambridge University PressJ. Fluid Mech., 1987, Vol. 177, pp. 133-166
[BibTeX] [DOI]

@article{kim_moin_moser_1987,
  author = {Kim, John and Moin, Parviz and Moser, Robert},
  title = {Turbulence statistics in fully developed channel flow at low Reynolds number},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1987},
  volume = {177},
  pages = {133-166},
  doi = {https://doi.org/10.1017/S0022112087000892}
}

Spectral simulations of laminar-turbulent transition in plane Poiseuille flow and comparison with experiments
Kleiser, L.
In Eighth International Conference on Numerical Methods in Fluid Dynamics, 1982, pp. 280-285
[BibTeX]

@inproceedings{kleiser1982spectral,
  author = {Kleiser, Leonhard},
  title = {Spectral simulations of laminar-turbulent transition in plane Poiseuille flow and comparison with experiments},
  booktitle = {Eighth International Conference on Numerical Methods in Fluid Dynamics},
  year = {1982},
  pages = {280-285}
}

LETTER TO THE EDITOR: There Is No Error in the Kleiser and Schumann Influence Matrix Method
Kleiser, L., Hartel, C. and Wintergerste, T.
J. Comput. Phys., 1998, Vol. 141, pp. 85-87
[BibTeX] [DOI]

@article{KLEISER199885,
  author = {Leonhard Kleiser and Carlos Hartel and Torsten Wintergerste},
  title = {LETTER TO THE EDITOR: There Is No Error in the Kleiser and Schumann Influence Matrix Method},
  journal = {J. Comput. Phys.},
  year = {1998},
  volume = {141},
  pages = {85-87},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999198959241},
  doi = {https://doi.org/10.1006/jcph.1998.5924}
}

Spectral simulations of the laminar-turbulent transition process in plane Poiseuille flow
Kleiser, L. and Schumann, U.
SIAM Philadelphia, USASpectral Meth. Partial Diff. Equations, 1984, pp. 141-163
[BibTeX]

@article{kleschSIAM1984,
  author = {Kleiser, L and Schumann, U},
  title = {Spectral simulations of the laminar-turbulent transition process in plane Poiseuille flow},
  journal = {Spectral Meth. Partial Diff. Equations},
  publisher = {SIAM Philadelphia, USA},
  year = {1984},
  pages = {141-163}
}

Treatment of incompressibility and boundary conditions in 3D numerical spectral simulations of plane channel flows
Kleiser, L. and Schumann, U.
In Proceedings of the Third GAMM Conference on Numerical Methods in Fluid Mechanics, 1980, pp. 165-173
[BibTeX]

@inproceedings{KleSch1980,
  author = {Kleiser, L and Schumann, Uo},
  title = {Treatment of incompressibility and boundary conditions in 3D numerical spectral simulations of plane channel flows},
  booktitle = {Proceedings of the Third GAMM Conference on Numerical Methods in Fluid Mechanics},
  year = {1980},
  pages = {165-173}
}

On transition due to three-dimensional disturbances in plane flow
Klingmann, B.G.B.
Cambridge University PressJ. Fluid Mech., 1992, Vol. 240, pp. 167-195
[BibTeX]

@article{klingmann1992transition,
  author = {Klingmann, Barbro G B},
  title = {On transition due to three-dimensional disturbances in plane Poiseuille flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1992},
  volume = {240},
  pages = {167-195}
}

Very large structures in plane turbulent Couette flow
Komminaho, J., Lundbladh, A. and Johansson, A.V.
Cambridge University PressJ. Fluid Mech., 1996, Vol. 320, pp. 259–285
[BibTeX] [DOI]

@article{komminaho_lundbladh_johansson_1996,
  author = {Komminaho, Jukka and Lundbladh, Anders and Johansson, Arne V.},
  title = {Very large structures in plane turbulent Couette flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1996},
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  pages = {259–285},
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}

Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow
Kreplin, H.-P. and Eckelmann, H.
Phys. Fluids, 1979, Vol. 22, pp. 1233-1239
[BibTeX] [DOI]

@article{KreplinPOF1979,
  author = {Kreplin, Hans-Peter and Eckelmann, Helmut },
  title = {Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow},
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  year = {1979},
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Linear differential operators
Lanczos, C.
Society for Industrial and Applied Mathematics, 1996
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@book{lanczos1997linear,
  author = {Lanczos, Cornelius.},
  title = {Linear differential operators},
  publisher = {Society for Industrial and Applied Mathematics},
  year = {1996},
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}

Trigonometric Interpolation of Empirical and Analytical Functions
Lanczos, C.
J. Math. Phys., 1938, Vol. 17, pp. 123-199
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@article{LanczosTau,
  author = {Lanczos, C},
  title = {Trigonometric Interpolation of Empirical and Analytical Functions},
  journal = {J. Math. Phys.},
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Fluid dynamics: Turbulence without inertia
Larson, R.G.
Nature Publishing GroupNature, 2000, Vol. 405, pp. 27-28
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@article{larson2000fluid,
  author = {Larson, Ronald G},
  title = {Fluid dynamics: Turbulence without inertia},
  journal = {Nature},
  publisher = {Nature Publishing Group},
  year = {2000},
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}

The structure and rheology of complex fluids
Larson, R.G.
Oxford University Press, 1998
[BibTeX]

@book{larson1999structure,
  author = {Larson, Ronald G},
  title = {The structure and rheology of complex fluids},
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}

Instabilities in viscoelastic flows
Larson, R.G.
SpringerRheol. Acta, 1992, Vol. 31, pp. 213-263
[BibTeX]

@article{larson1992instabilities,
  author = {Larson, Ronald G},
  title = {Instabilities in viscoelastic flows},
  journal = {Rheol. Acta},
  publisher = {Springer},
  year = {1992},
  volume = {31},
  pages = {213-263}
}

Modeling the rheology of polymer melts and solutions
Larson, R.G. and Desai, P.S.
Annual ReviewsAnnu. Rev. Fluid Mech., 2015, Vol. 47, pp. 47-65
[BibTeX]

@article{larson2015modeling,
  author = {Larson, Ronald G and Desai, Priyanka S},
  title = {Modeling the rheology of polymer melts and solutions},
  journal = {Annu. Rev. Fluid Mech.},
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  year = {2015},
  volume = {47},
  pages = {47-65}
}

A purely elastic instability in Taylor–Couette flow
Larson, R.G., Shaqfeh, E.S.G. and Muller, S.J.
Cambridge University PressJ. Fluid Mech., 1990, Vol. 218, pp. 573-600
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@article{larson1990purely,
  author = {Larson, Ronald G and Shaqfeh, Eric S G and Muller, Susan J},
  title = {A purely elastic instability in Taylor--Couette flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1990},
  volume = {218},
  pages = {573-600}
}

A fast adaptive numerical method for stiff two-point boundary value problems
Lee, J.-Y. and Greengard, L.
SIAMSIAM J. Sci.Comput., 1997, Vol. 18, pp. 403-429
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@article{leeGreSIAM1997,
  author = {Lee, June-Yub and Greengard, Leslie},
  title = {A fast adaptive numerical method for stiff two-point boundary value problems},
  journal = {SIAM J. Sci.Comput.},
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  year = {1997},
  volume = {18},
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}

Stability of plane Poiseuille and Couette flow of a Maxwell fluid
Lee, K.-C. and Finlayson, B.A.
J. Non-Newtonian Fluid Mech., 1986, Vol. 21, pp. 65-78
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@article{LeeFinlayson1986,
  author = {Key-Chyang Lee and Bruce A. Finlayson},
  title = {Stability of plane Poiseuille and Couette flow of a Maxwell fluid},
  journal = {J. Non-Newtonian Fluid Mech.},
  year = {1986},
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}

Simulations of natural transition in viscoelastic channel flow
Lee, S.J. and Zaki, T.A.
Cambridge University PressJ. Fluid Mech., 2017, Vol. 820, pp. 232-262
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@article{lee_zaki_2017,
  author = {Lee, Sang Jin and Zaki, Tamer A.},
  title = {Simulations of natural transition in viscoelastic channel flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {2017},
  volume = {820},
  pages = {232-262},
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}

Turbulent spots in channel flow: An experimental study
Lemoult, G., Gumowski, K., Aider, J.-L. and Wesfreid, J.E.
Eur. Phys. J. E, 2014, Vol. 37, pp. 25
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@article{Lemoult2014,
  author = {Lemoult, Grégoire and Gumowski, Konrad and Aider, Jean-Luc and Wesfreid, José Eduardo},
  title = {Turbulent spots in channel flow: An experimental study},
  journal = {Eur. Phys. J. E},
  year = {2014},
  volume = {37},
  pages = {25},
  doi = {https://doi.org/10.1140/epje/i2014-14025-2}
}

Rheological properties of oil paints and their flow instabilities in blade coating
Lim, S. and Ahn, K.H.
SpringerRheol. Acta, 2013, Vol. 52, pp. 643-659
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@article{lim2013rheological,
  author = {Lim, Sanghyuk and Ahn, Kyung Hyun},
  title = {Rheological properties of oil paints and their flow instabilities in blade coating},
  journal = {Rheol. Acta},
  publisher = {Springer},
  year = {2013},
  volume = {52},
  pages = {643-659}
}

Extension of Kleiser and Schumann's influence-matrix method for generalized velocity boundary conditions
Liu, X.
J. Comput. Phys., 2011, Vol. 230, pp. 7911-7916
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@article{LIU20117911,
  author = {X. Liu},
  title = {Extension of Kleiser and Schumann's influence-matrix method for generalized velocity boundary conditions},
  journal = {J. Comput. Phys.},
  year = {2011},
  volume = {230},
  pages = {7911-7916},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999111004359},
  doi = {https://doi.org/10.1016/j.jcp.2011.07.016}
}

Inverses of 2× 2 block matrices
Lu, T.-T. and Shiou, S.-H.
ElsevierComputers & Mathematics with Applications, 2002, Vol. 43, pp. 119-129
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@article{lu2002inverses,
  author = {Lu, Tzon-Tzer and Shiou, Sheng-Hua},
  title = {Inverses of 2× 2 block matrices},
  journal = {Computers & Mathematics with Applications},
  publisher = {Elsevier},
  year = {2002},
  volume = {43},
  pages = {119--129}
}

Drag Reduction by Additives
Lumley, J.L.
Annu. Rev. Fluid Mech., 1969, Vol. 1, pp. 367-384
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@article{Berman1969,
  author = {Lumley, J L},
  title = {Drag Reduction by Additives},
  journal = {Annu. Rev. Fluid Mech.},
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  pages = {367-384},
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Rheology: Principles, measurements, and applications
Macosko, C.W. and Larson, R.G.
Wiley-VCH, 1994
[BibTeX]

@book{macosko1994rheology,
  author = {Macosko, Christopher W and Larson, Ronald G},
  title = {Rheology: Principles, measurements, and applications},
  publisher = {Wiley-VCH},
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}

Numerical methods for hypersonic boundary layer stability
Malik, M.R.
J. Comput. Phys., 1990, Vol. 86, pp. 376-413
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@article{MalikJCP1990,
  author = {M. R Malik},
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  journal = {J. Comput. Phys.},
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Elimination of spurious eigenvalues in the Chebyshev tau spectral method
McFadden, G.B., Murray, B.T. and Boisvert, R.F.
J. Comput. Phys., 1990, Vol. 91, pp. 228-239
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@article{MCFADDEN1990228,
  author = {G. B McFadden and B. T Murray and R. F Boisvert},
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The wake instability in viscoelastic flow past confined circular cylinders
McKinley, G.H., Armstrong, R.C. and Brown, R.A.
Philos. Trans. R. Soc. A, 1993, Vol. 344, pp. 265-304
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@article{McKinley1993,
  author = {McKinley, Gareth H. and Armstrong, Robert C. and Brown, Robert A},
  title = {The wake instability in viscoelastic flow past confined circular cylinders},
  journal = {Philos. Trans. R. Soc. A},
  year = {1993},
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Linearized pipe flow to Reynolds number 10⁷
Meseguer, A. and Trefethen, L.N.
J. Comput. Phys., 2003, Vol. 186, pp. 178-197
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@article{meseguerRe1072003,
  author = {A. Meseguer and L. N. Trefethen},
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  doi = {https://doi.org/10.1016/S0021-9991(03)00029-9}
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Weakly nonlinear subcritical instability of visco-elastic Poiseuille flow
Meulenbroek, B., Storm, C., Morozov, A.N. and van Saarloos, W.
ElsevierJ. Non-Newtonian Fluid Mech., 2004, Vol. 116, pp. 235-268
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@article{meulenbroek2004weakly,
  author = {Meulenbroek, Bernard and Storm, Cornelis and Morozov, Alexander N and van Saarloos, Wim},
  title = {Weakly nonlinear subcritical instability of visco-elastic Poiseuille flow},
  journal = {J. Non-Newtonian Fluid Mech.},
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On the Inverse of the Sum of Matrices
Miller, K.S.
Mathematical Association of AmericaMath. Magazine, 1981, Vol. 54, pp. 67-72
[BibTeX]

@article{sumOfMatrices,
  author = {Kenneth S. Miller},
  title = {On the Inverse of the Sum of Matrices},
  journal = {Math. Magazine},
  publisher = {Mathematical Association of America},
  year = {1981},
  volume = {54},
  pages = {67-72},
  url = {http://www.jstor.org/stable/2690437}
}

Tackling turbulence with supercomputers
Moin, P. and Kim, J.
New York: Munn and Co.Sci. Am., 1997, Vol. 276, pp. 46-52
[BibTeX]

@article{moin1997tackling,
  author = {Moin, Parviz and Kim, John},
  title = {Tackling turbulence with supercomputers},
  journal = {Sci. Am.},
  publisher = {New York: Munn and Co.},
  year = {1997},
  volume = {276},
  pages = {46-52}
}

Direct numerical simulation: A tool in turbulence research
Moin, P. and Mahesh, K.
Annual Reviews 4139 El Camino Way, PO Box 10139, Palo Alto, CA 94303-0139, USAAnnu. Rev. Fluid Mech., 1998, Vol. 30, pp. 539-578
[BibTeX]

@article{moin1998direct,
  author = {Moin, Parviz and Mahesh, Krishnan},
  title = {Direct numerical simulation: A tool in turbulence research},
  journal = {Annu. Rev. Fluid Mech.},
  publisher = {Annual Reviews 4139 El Camino Way, PO Box 10139, Palo Alto, CA 94303-0139, USA},
  year = {1998},
  volume = {30},
  pages = {539-578}
}

An Algorithm for Generalized Matrix Eigenvalue Problems
Moler, C.B. and Stewart, G.W.
SIAM J. Numer. Anal., 1973, Vol. 10, pp. 241-256
[BibTeX] [DOI]

@article{MolSteSIAM1973,
  author = {Moler, C B and Stewart, G W},
  title = {An Algorithm for Generalized Matrix Eigenvalue Problems},
  journal = {SIAM J. Numer. Anal.},
  year = {1973},
  volume = {10},
  pages = {241-256},
  doi = {https://doi.org/10.1137/0710024}
}

Integrated optofluidics: A new river of light
Monat, C., Domachuk, P. and Eggleton, B.J.
Nature Publishing GroupNat. Photon., 2007, Vol. 1, pp. 106-114
[BibTeX]

@article{monat2007integrated,
  author = {Monat, C and Domachuk, P and Eggleton, B J},
  title = {Integrated optofluidics: A new river of light},
  journal = {Nat. Photon.},
  publisher = {Nature Publishing Group},
  year = {2007},
  volume = {1},
  pages = {106-114}
}

Subcritical Instabilities in Plane Poiseuille Flow of an Oldroyd-B Fluid
Morozov, A.N. and van Saarloos, W.
J. Stat. Phys., 2019, Vol. 175, pp. 554-577
[BibTeX] [DOI]

@article{Morozov2019,
  author = {Morozov, Alexander N and van Saarloos, Wim},
  title = {Subcritical Instabilities in Plane Poiseuille Flow of an Oldroyd-B Fluid},
  journal = {J. Stat. Phys.},
  year = {2019},
  volume = {175},
  pages = {554-577},
  doi = {https://doi.org/10.1007/s10955-019-02268-6}
}

An introductory essay on subcritical instabilities and the transition to turbulence in visco-elastic parallel shear flows
Morozov, A.N. and van Saarloos, W.
Phys. Rep., 2007, Vol. 447, pp. 112-143
[BibTeX] [DOI]

@article{MOROZOV2007112,
  author = {Morozov, Alexander N. and van Saarloos, Wim},
  title = {An introductory essay on subcritical instabilities and the transition to turbulence in visco-elastic parallel shear flows},
  journal = {Phys. Rep.},
  year = {2007},
  volume = {447},
  pages = {112-143},
  doi = {https://doi.org/10.1016/j.physrep.2007.03.004}
}

Subcritical Finite-Amplitude Solutions for Plane Flow of Viscoelastic Fluids
Morozov, A.N. and van Saarloos, W.
American Physical SocietyPhys. Rev. Lett., 2005, Vol. 95, pp. 024501
[BibTeX] [DOI]

@article{MorozovSubcritWeakly,
  author = {Morozov, Alexander N. and van Saarloos, Wim},
  title = {Subcritical Finite-Amplitude Solutions for Plane Couette Flow of Viscoelastic Fluids},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2005},
  volume = {95},
  pages = {024501},
  doi = {https://doi.org/10.1103/PhysRevLett.95.024501}
}

Direct numerical simulation of turbulent channel flow up to Reτ=590
Moser, R.D., Kim, J. and Mansour, N.N.
Phys. Fluids, 1999, Vol. 11, pp. 943-945
[BibTeX] [DOI]

@article{Moser_Kim_Mansour_POF1999,
  author = {Robert D. Moser and John Kim and Nagi N. Mansour},
  title = {Direct numerical simulation of turbulent channel flow up to Reτ=590},
  journal = {Phys. Fluids},
  year = {1999},
  volume = {11},
  pages = {943-945},
  doi = {https://doi.org/10.1063/1.869966}
}

An experimental investigation of the stability of plane flow
Nishioka, M., Ichikawa, Y. and others
Cambridge University PressJ. Fluid Mech., 1975, Vol. 72, pp. 731-751
[BibTeX]

@article{nishioka1975experimental,
  author = {Nishioka, M and Ichikawa, Y and others},
  title = {An experimental investigation of the stability of plane Poiseuille flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1975},
  volume = {72},
  pages = {731-751}
}

Viscoelastic flow in an obstructed microchannel at high number
Nolan, K.P., Agarwal, A., Lei, S. and Shields, R.
SpringerMicrofluid. Nanofluidics, 2016, Vol. 20, pp. 1-12
[BibTeX]

@article{nolan2016viscoelastic,
  author = {Nolan, Kevin P and Agarwal, Akshat and Lei, Shenghui and Shields, Robin},
  title = {Viscoelastic flow in an obstructed microchannel at high Weissenberg number},
  journal = {Microfluid. Nanofluidics},
  publisher = {Springer},
  year = {2016},
  volume = {20},
  pages = {1-12}
}

Applications of Lie groups to differential equations
Olver, P.J.
Springer Science and Business Media, 2012
[BibTeX]

@book{olver2012applications,
  author = {Olver, Peter J},
  title = {Applications of Lie groups to differential equations},
  publisher = {Springer Science and Business Media},
  year = {2012}
}

A Fast and Well-Conditioned Spectral Method
Olver, S. and Townsend, A.
SIAM Rev., 2013, Vol. 55, pp. 462-489
[BibTeX] [DOI]

@article{OlvTowSIAM2013,
  author = {Olver, S. and Townsend, A.},
  title = {A Fast and Well-Conditioned Spectral Method},
  journal = {SIAM Rev.},
  year = {2013},
  volume = {55},
  pages = {462-489},
  doi = {https://doi.org/10.1137/120865458}
}

Numerical Simulation of Viscous Incompressible Flows
Orszag, S.A. and Israeli, M.
Annu. Rev. Fluid Mech., 1974, Vol. 6, pp. 281-318
[BibTeX] [DOI]

@article{OrsIsrARFM1974,
  author = {Orszag, S A and Israeli, M},
  title = {Numerical Simulation of Viscous Incompressible Flows},
  journal = {Annu. Rev. Fluid Mech.},
  year = {1974},
  volume = {6},
  pages = {281-318},
  doi = {https://doi.org/10.1146/annurev.fl.06.010174.001433}
}

The complex structured singular value
Packard, A. and Doyle, J.
ElsevierAutomatica, 1993, Vol. 29, pp. 71-109
[BibTeX]

@article{packard1993complex,
  author = {Packard, Andrew and Doyle, John},
  title = {The complex structured singular value},
  journal = {Automatica},
  publisher = {Elsevier},
  year = {1993},
  volume = {29},
  pages = {71-109}
}

A collection of robust control problems leading to LMIs
Packard, A., Zhou, K., Pandey, P. and Becker, G.
In Decision and Control, 1991., Proceedings of the 30th IEEE Conference on, 1991, pp. 1245-1250
[BibTeX]

@inproceedings{packard1991collection,
  author = {Packard, Andy and Zhou, Kemin and Pandey, Pradeep and Becker, Greg},
  title = {A collection of robust control problems leading to LMIs},
  booktitle = {Decision and Control, 1991., Proceedings of the 30th IEEE Conference on},
  year = {1991},
  pages = {1245-1250}
}

Viscoelastic shear flow over a wavy surface
Page, J. and Zaki, T.A.
Cambridge University PressJ. Fluid Mech., 2016, Vol. 801, pp. 392-429
[BibTeX] [DOI]

@article{pagzakJFM2016,
  author = {Page, Jacob and Zaki, Tamer A.},
  title = {Viscoelastic shear flow over a wavy surface},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {2016},
  volume = {801},
  pages = {392-429},
  doi = {https://doi.org/10.1017/jfm.2016.455}
}

The dynamics of spanwise vorticity perturbations in homogeneous viscoelastic shear flow
Page, J. and Zaki, T.A.
Cambridge University PressJ. Fluid Mech., 2015, Vol. 777, pp. 327-363
[BibTeX] [DOI]

@article{pagzakJFM2015,
  author = {Page, Jacob and Zaki, Tamer A.},
  title = {The dynamics of spanwise vorticity perturbations in homogeneous viscoelastic shear flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {2015},
  volume = {777},
  pages = {327-363},
  doi = {https://doi.org/10.1017/jfm.2015.368}
}

Streak evolution in viscoelastic Couette flow
Page, J. and Zaki, T.A.
Cambridge University PressJ. Fluid Mech., 2014, Vol. 742, pp. 520-551
[BibTeX] [DOI]

@article{pagzakJFM2014,
  author = {Page, Jacob and Zaki, Tamer A.},
  title = {Streak evolution in viscoelastic Couette flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {2014},
  volume = {742},
  pages = {520-551},
  doi = {https://doi.org/10.1017/jfm.2013.686}
}

Elastic instability and curved streamlines
Pakdel, P. and McKinley, G.H.
APSPhys. Rev. Lett., 1996, Vol. 77, pp. 2459-2462
[BibTeX]

@article{pakdel1996elastic,
  author = {Pakdel, Peyman and McKinley, Gareth H},
  title = {Elastic instability and curved streamlines},
  journal = {Phys. Rev. Lett.},
  publisher = {APS},
  year = {1996},
  volume = {77},
  pages = {2459-2462}
}

Nonlinear elastic instability in channel flows at low numbers
Pan, L., Morozov, A.N., Wagner, C. and Arratia, P.E.
APSPhys. Rev. Lett., 2013, Vol. 110, pp. 174502
[BibTeX]

@article{pan2013nonlinear,
  author = {Pan, L and Morozov, A N and Wagner, C and Arratia, P E},
  title = {Nonlinear elastic instability in channel flows at low Reynolds numbers},
  journal = {Phys. Rev. Lett.},
  publisher = {APS},
  year = {2013},
  volume = {110},
  pages = {174502}
}

Incompressible flow
Panton, R.L.
John Wiley and Sons, 2006
[BibTeX]

@book{panton2006incompressible,
  author = {Panton, Ronald L},
  title = {Incompressible flow},
  publisher = {John Wiley and Sons},
  year = {2006}
}

Spectral methods for incompressible viscous flow
Peyret, R.
Springer Science and Business Media, 2013
[BibTeX]

@book{peyret2013spectral,
  author = {Peyret, Roger},
  title = {Spectral methods for incompressible viscous flow},
  publisher = {Springer Science and Business Media},
  year = {2013}
}

Influence matrix technique for the numerical spectral simulation of viscous incompressible flows
Phillips, T.N. and Soliman, I.M.
Wiley Online LibraryNumer. Meth. Partial Diff. Equations, 1991, Vol. 7, pp. 9-24
[BibTeX]

@article{phillips1991influence,
  author = {Phillips, Timothy N and Soliman, Ibrahim M},
  title = {Influence matrix technique for the numerical spectral simulation of viscous incompressible flows},
  journal = {Numer. Meth. Partial Diff. Equations},
  publisher = {Wiley Online Library},
  year = {1991},
  volume = {7},
  pages = {9-24}
}

An introduction to partial differential equations
Pinchover, Y. and Rubinstein, J.
Cambridge University Press, 2005
[BibTeX]

@book{pinchover2005introduction,
  author = {Pinchover, Yehuda and Rubinstein, Jacob},
  title = {An introduction to partial differential equations},
  publisher = {Cambridge University Press},
  year = {2005}
}

Numerical recipes 3rd Edition: The art of scientific computing
Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P.
Cambridge University Press, 2007
[BibTeX]

@book{NumRecipes,
  author = {Press, William H. and Teukolsky, Saul A. and Vetterling, William T. and Flannery, Brian P.},
  title = {Numerical recipes 3rd Edition: The art of scientific computing},
  publisher = {Cambridge University Press},
  year = {2007}
}

Developing optofluidic technology through the fusion of microfluidics and optics
Psaltis, D., Quake, S.R. and Yang, C.
Nature Publishing GroupNature, 2006, Vol. 442, pp. 381-386
[BibTeX]

@article{psaltis2006developing,
  author = {Psaltis, Demetri and Quake, Stephen R and Yang, Changhuei},
  title = {Developing optofluidic technology through the fusion of microfluidics and optics},
  journal = {Nature},
  publisher = {Nature Publishing Group},
  year = {2006},
  volume = {442},
  pages = {381-386}
}

Turbulent channel flow near maximum drag reduction: Simulations, experiments and mechanisms
Ptasinski, P.K., Boersma, B.J., Nieuwstadt, F.T.M., Hulsen, M.A., Van Den Brule, B.H.A.A. and Hunt, J.C.R.
Cambridge University PressJ. Fluid Mech., 2003, Vol. 490, pp. 251-291
[BibTeX] [DOI]

@article{huntJFM2003,
  author = {Ptasinski, P. K. and Boersma, B. J. and Nieuwstadt, F. T. M. and Hulsen, M. A. and Van Den Brule, B. H. A. A. and Hunt, J. C. R.},
  title = {Turbulent channel flow near maximum drag reduction: Simulations, experiments and mechanisms},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {2003},
  volume = {490},
  pages = {251-291},
  doi = {https://doi.org/10.1017/S0022112003005305}
}

Characterizing elastic turbulence in channel flows at low number
Qin, B. and Arratia, P.E.
American Physical SocietyPhys. Rev. Fluids, 2017, Vol. 2, pp. 083302
[BibTeX] [DOI]

@article{qin2016elastic,
  author = {Qin, Boyang and Arratia, Paulo E.},
  title = {Characterizing elastic turbulence in channel flows at low Reynolds number},
  journal = {Phys. Rev. Fluids},
  publisher = {American Physical Society},
  year = {2017},
  volume = {2},
  pages = {083302},
  doi = {https://doi.org/10.1103/PhysRevFluids.2.083302}
}

Flow Resistance and Structures in Viscoelastic Channel Flows at Low Re
Qin, B., Salipante, P.F., Hudson, S.D. and Arratia, P.E.
American Physical SocietyPhys. Rev. Lett., 2019, Vol. 123, pp. 194501
[BibTeX] [DOI]

@article{qin2019elastic,
  author = {Qin, Boyang and Salipante, Paul F. and Hudson, Steven D. and Arratia, Paulo E.},
  title = {Flow Resistance and Structures in Viscoelastic Channel Flows at Low Re},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2019},
  volume = {123},
  pages = {194501},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.123.194501},
  doi = {https://doi.org/10.1103/PhysRevLett.123.194501}
}

Integral conditions for the pressure in the computation of incompressible viscous flows
Quartapelle, L. and Napolitano, M.
ElsevierJ. Comp. Phys., 1986, Vol. 62, pp. 340-348
[BibTeX]

@article{quartapelle1986integral,
  author = {Quartapelle, L and Napolitano, M},
  title = {Integral conditions for the pressure in the computation of incompressible viscous flows},
  journal = {J. Comp. Phys.},
  publisher = {Elsevier},
  year = {1986},
  volume = {62},
  pages = {340-348}
}

Location of the continuous spectrum in complex flows of the UCM fluid
Renardy, M.
ElsevierJ. Non-Newtonian Fluid Mech., 2000, Vol. 94, pp. 75-85
[BibTeX]

@article{renardy2000location,
  author = {Renardy, Michael},
  title = {Location of the continuous spectrum in complex flows of the UCM fluid},
  journal = {J. Non-Newtonian Fluid Mech.},
  publisher = {Elsevier},
  year = {2000},
  volume = {94},
  pages = {75-85}
}

Linear stability of plane Couette flow of an upper convected Maxwell fluid
Renardy, M. and Renardy, Y.
ElsevierJ. Non-Newtonian Fluid Mech., 1986, Vol. 22, pp. 23-33
[BibTeX]

@article{renardy1986linear,
  author = {Renardy, Michael and Renardy, Yuriko},
  title = {Linear stability of plane Couette flow of an upper convected Maxwell fluid},
  journal = {J. Non-Newtonian Fluid Mech.},
  publisher = {Elsevier},
  year = {1986},
  volume = {22},
  pages = {23-33}
}

An introduction to partial differential equations
Renardy, M. and Rogers, R.C.
Springer Science and Business Media, 2006
[BibTeX]

@book{renardy2006introduction,
  author = {Renardy, Michael and Rogers, Robert C},
  title = {An introduction to partial differential equations},
  publisher = {Springer Science and Business Media},
  year = {2006}
}

An Experimental Investigation of the Circumstances Which Determine Whether the Motion of Water Shall Be Direct or Sinuous, and of the Law of Resistance in Parallel Channels
Reynolds, O.
The Royal SocietyPhil. Trans. Roy. Soc. London, 1883, Vol. 174, pp. 935-982
[BibTeX]

@article{OsborneReynolds,
  author = {Osborne Reynolds},
  title = {An Experimental Investigation of the Circumstances Which Determine Whether the Motion of Water Shall Be Direct or Sinuous, and of the Law of Resistance in Parallel Channels},
  journal = {Phil. Trans. Roy. Soc. London},
  publisher = {The Royal Society},
  year = {1883},
  volume = {174},
  pages = {935-982}
}

One-point modelling of rapidly deformed homogeneous turbulence
Reynolds, W.C. and Kassinos, S.C.
Proc. R. Soc. Lond. A Math. Phys. Sci., 1995, Vol. 451, pp. 87-104
[BibTeX] [DOI]

@article{2D3C,
  author = {W. C. Reynolds and S. C. Kassinos},
  title = {One-point modelling of rapidly deformed homogeneous turbulence},
  journal = {Proc. R. Soc. Lond. A Math. Phys. Sci.},
  year = {1995},
  volume = {451},
  pages = {87-104},
  doi = {https://doi.org/10.1098/rspa.1995.0118}
}

Microfluidics for medical diagnostics and biosensors
Rivet, C., Lee, H., Hirsch, A., Hamilton, S. and Lu, H.
Chem. Eng. Sci., 2011, Vol. 66, pp. 1490-1507
[BibTeX] [DOI]

@article{Rivet20111490,
  author = {Catherine Rivet and Hyewon Lee and Alison Hirsch and Sharon Hamilton and Hang Lu},
  title = {Microfluidics for medical diagnostics and biosensors},
  journal = {Chem. Eng. Sci.},
  year = {2011},
  volume = {66},
  pages = {1490-1507},
  doi = {https://doi.org/10.1016/j.ces.2010.08.015}
}

Secondary flows in a plane channel: Their relationship and comparison with turbulent flows
Rozhdestvensky, B.L. and Simakin, I.N.
Cambridge University PressJ. Fluid Mech., 1984, Vol. 147, pp. 261-289
[BibTeX] [DOI]

@article{rozhdestvensky_simakin_1984,
  author = {Rozhdestvensky, B. L. and Simakin, I. N.},
  title = {Secondary flows in a plane channel: Their relationship and comparison with turbulent flows},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1984},
  volume = {147},
  pages = {261-289},
  doi = {https://doi.org/10.1017/S0022112084002081}
}

VORTICES, STABILITY, AND TURBULENCE
Saffman, P.G.
Wiley Online LibraryAnn. N. Y. Acad. Sci., 1983, Vol. 404, pp. 12-24
[BibTeX] [DOI]

@article{SaffmanVortices,
  author = {P. G. Saffman},
  title = {VORTICES, STABILITY, AND TURBULENCE},
  journal = {Ann. N. Y. Acad. Sci.},
  publisher = {Wiley Online Library},
  year = {1983},
  volume = {404},
  pages = {12-24},
  doi = {https://doi.org/10.1111/j.1749-6632.1983.tb19411.x}
}

Nonmodal Stability Theory
Schmid, P.J.
Annu. Rev. Fluid Mech., 2007, pp. 129-162
[BibTeX] [DOI]

@article{SchmidARFM2007,
  author = {Schmid, Peter J.},
  title = {Nonmodal Stability Theory},
  journal = {Annu. Rev. Fluid Mech.},
  year = {2007},
  pages = {129-162},
  doi = {https://doi.org/10.1146/annurev.fluid.38.050304.092139}
}

Stability and transition in shear flows
Schmid, P.J. and Henningson, D.S.
Springer Science and Business Media, 2012
[BibTeX]

@book{schmid2012stability,
  author = {Schmid, Peter J and Henningson, Dan S},
  title = {Stability and transition in shear flows},
  publisher = {Springer Science and Business Media},
  year = {2012}
}

Optimal energy density growth in Hagen–Poiseuille flow
Schmid, P.J. and Henningson, D.S.
Cambridge University PressJ. Fluid Mech., 1994, Vol. 277, pp. 197-225
[BibTeX] [DOI]

@article{schmid_henningson_1994,
  author = {Schmid, Peter J. and Henningson, Dan S.},
  title = {Optimal energy density growth in Hagen–Poiseuille flow},
  journal = {J. Fluid Mech.},
  publisher = {Cambridge University Press},
  year = {1994},
  volume = {277},
  pages = {197-225},
  doi = {https://doi.org/10.1017/S0022112094002739}
}

Critical-Layer Structures and Mechanisms in Elastoinertial Turbulence
Shekar, A., McMullen, R.M., Wang, S.-N., McKeon, B.J. and Graham, M.D.
American Physical SocietyPhys. Rev. Lett., 2019, Vol. 122, pp. 124503
[BibTeX] [DOI]

@article{shekar2019,
  author = {Shekar, Ashwin and McMullen, Ryan M. and Wang, Sung-Ning and McKeon, Beverley J. and Graham, Michael D.},
  title = {Critical-Layer Structures and Mechanisms in Elastoinertial Turbulence},
  journal = {Phys. Rev. Lett.},
  publisher = {American Physical Society},
  year = {2019},
  volume = {122},
  pages = {124503},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.124503},
  doi = {https://doi.org/10.1103/PhysRevLett.122.124503}
}

Spectral methods: Algorithms, analysis and applications
Shen, J., Tang, T. and Wang, L.-L.
Springer Science and Business Media, 2011
[BibTeX]

@book{shen2011spectral,
  author = {Shen, Jie and Tang, Tao and Wang, Li-Lian},
  title = {Spectral methods: Algorithms, analysis and applications},
  publisher = {Springer Science and Business Media},
  year = {2011}
}

Multivariable feedback control: Analysis and design
Skogestad, S. and Postlethwaite, I.
Wiley, 2007
[BibTeX]

@book{skogestad2007multivariable,
  author = {Skogestad, Sigurd and Postlethwaite, Ian},
  title = {Multivariable feedback control: Analysis and design},
  publisher = {Wiley},
  year = {2007}
}

A Jacobi–Davidson iteration method for linear eigenvalue problems
Sleijpen, G.L.G. and Van der Vorst, H.A.
SIAMSIAM Rev., 2000, Vol. 42, pp. 267-293
[BibTeX]

@article{sleijpen2000jacobi,
  author = {Sleijpen, Gerard L G and Van der Vorst, Henk A},
  title = {A Jacobi--Davidson iteration method for linear eigenvalue problems},
  journal = {SIAM Rev.},
  publisher = {SIAM},
  year = {2000},
  volume = {42},
  pages = {267-293}
}

A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation
Speetjens, M.F.M. and Clercx, H.J.H.
Taylor & FrancisInt. J. Comput. Fluid Dyn., 2005, Vol. 19, pp. 191-209
[BibTeX] [DOI]

@article{SpeetjensIJCFD2005,
  author = {Speetjens, M F M and Clercx, H J H },
  title = {A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation},
  journal = {Int. J. Comput. Fluid Dyn.},
  publisher = {Taylor & Francis},
  year = {2005},
  volume = {19},
  pages = {191-209},
  url = { 
https://doi.org/10.1080/10618560412331283808
}, doi = {https://doi.org/10.1080/10618560412331283808} }

On three and two-dimensional disturbances of pipe flow
Spielberg, K. and Timan, H.
J. Appl. Mech., 1960, Vol. 27, pp. 381-389
[BibTeX] [DOI]

@article{SpielbergTimanJAM1960,
  author = {Spielberg, Kurt and Timan, Hans},
  title = {On three and two-dimensional disturbances of pipe flow},
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Effect of viscoelasticity on the soft-wall transition and turbulence in a microchannel
Srinivas, S.S. and Kumaran, V.
Cambridge University PressJ. Fluid Mech., 2017, Vol. 812, pp. 1076-1118
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@article{srinivas_kumaran_2017,
  author = {Srinivas, S. S. and Kumaran, V.},
  title = {Effect of viscoelasticity on the soft-wall transition and turbulence in a microchannel},
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  publisher = {Cambridge University Press},
  year = {2017},
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}

The Fundamental Theorem of Linear Algebra
Strang, G.
Taylor & FrancisAmer. Math. Monthly, 1993, Vol. 100, pp. 848-855
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  author = {Gilbert Strang},
  title = {The Fundamental Theorem of Linear Algebra},
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  publisher = {Taylor & Francis},
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  volume = {100},
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Numerical solution of eigenvalue problems using spectral techniques
Su, Y.Y. and Khomami, B.
ElsevierJ. Comp. Phys., 1992, Vol. 100, pp. 297-305
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@article{su1992numerical,
  author = {Su, Y Y and Khomami, B},
  title = {Numerical solution of eigenvalue problems using spectral techniques},
  journal = {J. Comp. Phys.},
  publisher = {Elsevier},
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Linear stability analysis of viscoelastic Poiseuille flow using an Arnoldi-based orthogonalization algorithm
Sureshkumar, R. and Beris, A.N.
ElsevierJ. Non-Newtonian Fluid Mech., 1995, Vol. 56, pp. 151-182
[BibTeX]

@article{sureshkumar1995linear,
  author = {Sureshkumar, R and Beris, Antony N},
  title = {Linear stability analysis of viscoelastic Poiseuille flow using an Arnoldi-based orthogonalization algorithm},
  journal = {J. Non-Newtonian Fluid Mech.},
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  pages = {151-182}
}

Direct numerical simulation of the turbulent channel flow of a polymer solution
Sureshkumar, R., Beris, A.N. and Handler, R.A.
AIP PublishingPhys. Fluids., 1997, Vol. 9, pp. 743-755
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@article{sureshkumar1997direct,
  author = {Sureshkumar, R and Beris, Antony N and Handler, Robert A},
  title = {Direct numerical simulation of the turbulent channel flow of a polymer solution},
  journal = {Phys. Fluids.},
  publisher = {AIP Publishing},
  year = {1997},
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}

On the role of pressure in elasto-inertial turbulence
Terrapon, V.E., Dubief, Y. and Soria, J.
Taylor & FrancisJ. Turb., 2015, Vol. 16, pp. 26-43
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@article{terrapon2015role,
  author = {Terrapon, Vincent E and Dubief, Yves and Soria, Julio},
  title = {On the role of pressure in elasto-inertial turbulence},
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}

Emergence of singular structures in Oldroyd-B fluids
Thomases, B. and Shelley, M.
Phys. Fluids, 2007, Vol. 19, pp. 103103
[BibTeX] [DOI]

@article{Shelly2007,
  author = {Thomases, Becca and Shelley, Michael },
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  year = {2007},
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Stability of a Relaxation-Type Viscoelastic Fluid with Slight Elasticity
Tlapa, G. and Bernstein, B.
AIPPhys. Fluids, 1970, Vol. 13, pp. 565-568
[BibTeX]

@article{tlapa1970stability,
  author = {Tlapa, G and Bernstein, B},
  title = {Stability of a Relaxation-Type Viscoelastic Fluid with Slight Elasticity},
  journal = {Phys. Fluids},
  publisher = {AIP},
  year = {1970},
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}

On the early experiments on drag reduction by polymers
Toms, B.A.
Phys. Fluids, 1977, Vol. 20, pp. S3-S5
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  title = {On the early experiments on drag reduction by polymers},
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  year = {1977},
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Some observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers
Toms, B.A.
Proc. of In. Cong. On Rheology, 1948, 1948, Vol. 135
[BibTeX]

@article{toms1948some,
  author = {Toms, Be A},
  title = {Some observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers},
  journal = {Proc. of In. Cong. On Rheology, 1948},
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Spectra and pseudospectra for pipe Poiseuille flow
Trefethen, A.E., Trefethen, L.N. and Schmid, P.J.
Comp. Meth. App. Mech. Eng., 1999, Vol. 175, pp. 413-420
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  title = {Spectra and pseudospectra for pipe Poiseuille flow},
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Spectral methods in MATLAB
Trefethen, L.N.
Society for Industrial and Applied Mathematics, 2000
[BibTeX]

@book{TreSIAM2000,
  author = {Trefethen, Lloyd N},
  title = {Spectral methods in MATLAB},
  publisher = {Society for Industrial and Applied Mathematics},
  year = {2000}
}

Spectra and pseudospectra
Trefethen, L.N.
Springer Berlin HeidelbergIn The Graduate Student's Guide to Numerical Analysis ’98: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis, 1999, pp. 217-250
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  author = {Trefethen, Lloyd N.},
  title = {Spectra and pseudospectra},
  booktitle = {The Graduate Student's Guide to Numerical Analysis '98: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis},
  publisher = {Springer Berlin Heidelberg},
  year = {1999},
  pages = {217-250},
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}

Hydrodynamic Stability Without Eigenvalues
Trefethen, L.N., Trefethen, A.E., Reddy, S.C. and Driscoll, T.A.
American Association for the Advancement of ScienceScience, 1993, Vol. 261, pp. 578-584
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Divergence-free velocity fields in nonperiodic geometries
Tuckerman, L.S.
ElsevierJ. Comput. Phys., 1989, Vol. 80, pp. 403-441
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Observation and control for operator semigroups
Tucsnak, M. and Weiss, G.
Springer Science and Business Media, 2009
[BibTeX]

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Drag enhancement and drag reduction in viscoelastic flow
Varshney, A. and Steinberg, V.
APSPhys. Rev. Fluids, 2018, Vol. 3, pp. 103302
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Computational fluid dynamics
Versteeg, H.K. and Malalasekera, W.
The finite volume method, 1995
[BibTeX]

@article{versteeg1995computational,
  author = {Versteeg, H K and Malalasekera, W},
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Spectral integration of linear boundary value problems
Viswanath, D.
ElsevierJ. Comp. App. Math., 2015, Vol. 290, pp. 159-173
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@article{visJCAM2015,
  author = {Viswanath, Divakar},
  title = {Spectral integration of linear boundary value problems},
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}

Hydrodynamic Stability and Turbulence: Beyond Transients to a Self-Sustaining Process
Waleffe, F.
Stud. Appl. Math., 1995, Vol. 95, pp. 319-343
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  journal = {Stud. Appl. Math.},
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AUGEM: Automatically generate high performance dense linear algebra kernels on x86 CPUs
Wang, Q., Zhang, X., Zhang, Y. and Yi, Q.
In 2013 International Conference for High Performance Computing, Networking, Storage and Analysis (SC’13), 2013, pp. 1-12
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@inproceedings{wang2013augem,
  author = {Wang, Qian and Zhang, Xianyi and Zhang, Yunquan and Yi, Qing},
  title = {AUGEM: Automatically generate high performance dense linear algebra kernels on x86 CPUs},
  booktitle = {2013 International Conference for High Performance Computing, Networking, Storage and Analysis (SC'13)},
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An integrated design and fabrication strategy for entirely soft, autonomous robots
Wehner, M., Truby, R.L., Fitzgerald, D.J., Mosadegh, B., Whitesides, G.M., Lewis, J.A. and Wood, R.J.
Nature ResearchNature, 2016, Vol. 536, pp. 451-455
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@article{wehner2016integrated,
  author = {Wehner, Michael and Truby, Ryan L and Fitzgerald, Daniel J and Mosadegh, Bobak and Whitesides, George M and Lewis, Jennifer A and Wood, Robert J},
  title = {An integrated design and fabrication strategy for entirely soft, autonomous robots},
  journal = {Nature},
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A MATLAB differentiation matrix suite
Weideman, J.A. and Reddy, S.C.
ACMACM TOMS, 2000, Vol. 26, pp. 465-519
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@article{weideman2000matlab,
  author = {Weideman, J Andre and Reddy, Satish C},
  title = {A MATLAB differentiation matrix suite},
  journal = {ACM TOMS},
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  year = {2000},
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Incompressibility and no-slip boundaries in the Chebyshev-tau approximation: Correction to Kleiser and Schumann's influence-matrix solution
Werne, J.
Academic PressJ. Comput. Phys., 1995, pp. 260-265
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@article{werne1995incompressibility,
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  title = {Incompressibility and no-slip boundaries in the Chebyshev-tau approximation: Correction to Kleiser and Schumann's influence-matrix solution},
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Mechanics and prediction of turbulent drag reduction with polymer additives
White, C.M. and Mungal, M.G.
Annual ReviewsAnnu. Rev. Fluid Mech., 2008, Vol. 40, pp. 235-256
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@article{white2008mechanics,
  author = {White, Christopher M and Mungal, M Godfrey},
  title = {Mechanics and prediction of turbulent drag reduction with polymer additives},
  journal = {Annu. Rev. Fluid Mech.},
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  year = {2008},
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Structure of the spectrum in zero number shear flow of the and - liquids
Wilson, H.J., Renardy, M. and Renardy, Y.
ElsevierJ. Non-Newtonian Fluid Mech., 1999, Vol. 80, pp. 251-268
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@article{wilson1999structure,
  author = {Wilson, Helen J and Renardy, Michael and Renardy, Yuriko},
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On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug
Wygnanski, I.J. and Champagne, F.H.
Cambridge University PressJ. Fluid Mech., 1973, Vol. 59, pp. 281-335
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  author = {Wygnanski, I. J. and Champagne, F. H.},
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On the rotation and skew-symmetric forms for incompressible flow simulations
Zang, T.A.
App. Numer. Math., 1991, Vol. 7, pp. 27-40
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  journal = {App. Numer. Math.},
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Numerical experiments on stability and transition in plane channel flow
Zang, T.A. and Krist, S.E.
SpringerTheor. Comput. Fluid Dyn., 1989, Vol. 1, pp. 41-64
[BibTeX]

@article{zang1989numerical,
  author = {Zang, Thomas A and Krist, Steven E},
  title = {Numerical experiments on stability and transition in plane channel flow},
  journal = {Theor. Comput. Fluid Dyn.},
  publisher = {Springer},
  year = {1989},
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Linear stability analysis of channel flow of viscoelastic Oldroyd-B and FENE-P fluids
Zhang, M., Lashgari, I., Zaki, T.A. and Brandt, L.
Cambridge University PressJ. Fluid Mech., 2013, Vol. 737, pp. 249-279
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@article{zakiJFM2013,
  author = {Zhang, Mengqi and Lashgari, Iman and Zaki, Tamer A. and Brandt, Luca},
  title = {Linear stability analysis of channel flow of viscoelastic Oldroyd-B and FENE-P fluids},
  journal = {J. Fluid Mech.},
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}

Robust and optimal control
Zhou, K., Doyle, J.C. and Glover, K.
Prentice Hall, 1996
[BibTeX]

@book{zhou1996robust,
  author = {Zhou, Kemin and Doyle, John C. and Glover, Keith},
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Hard and soft micromachining for BioMEMS: Review of techniques and examples of applications in microfluidics and drug delivery
Ziaie, B., Baldi, A., Lei, M., Gu, Y. and Siegel, R.A.
Adv. Drug Deliv. Rev., 2004, Vol. 56, pp. 145-172
[BibTeX] [DOI]

@article{Ziaie2004145,
  author = {Babak Ziaie and Antonio Baldi and Ming Lei and Yuandong Gu and Ronald A Siegel},
  title = {Hard and soft micromachining for BioMEMS: Review of techniques and examples of applications in microfluidics and drug delivery},
  journal = {Adv. Drug Deliv. Rev.},
  year = {2004},
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}

Sparsity-promoting dynamic mode decomposition for systems with inputs
Annoni, J., Seiler, P. and Jovanović, M.R.
In Proceedings of the 55th IEEE Conference on Decision and Control, 2016, pp. 6506-6511
[BibTeX] [PDF]

@inproceedings{annseijovCDC16,
  author = {J. Annoni and P. Seiler and M. R. Jovanović},
  title = {Sparsity-promoting dynamic mode decomposition for systems with inputs},
  booktitle = {Proceedings of the 55th IEEE Conference on Decision and Control},
  year = {2016},
  pages = {6506-6511},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/annseijovCDC16.pdf}
}

Coherence in large-scale networks: dimension dependent limitations of local feedback
Bamieh, B., Jovanović, M.R., Mitra, P. and Patterson, S.
IEEE Trans. Automat. Control, September, 2012, Vol. 57 (9), pp. 2235-2249
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@article{bamjovmitpat12,
  author = {B. Bamieh and M. R. Jovanović and P. Mitra and S. Patterson},
  title = {Coherence in large-scale networks: dimension dependent limitations of local feedback},
  journal = {IEEE Trans. Automat. Control},
  year = {2012},
  volume = {57},
  number = {9},
  pages = {2235-2249},
  note = {(2013 George S.\ Axelby Outstanding Paper Award)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/bamjovmitpatTAC12.pdf}
}

Effect of topological dimension on rigidity of vehicle formations: fundamental limitations of local feedback
Bamieh, B., Jovanović, M.R., Mitra, P. and Patterson, S.
In Proceedings of the 47th IEEE Conference on Decision and Control, 2008, pp. 369-374
[BibTeX]

@inproceedings{bamjovmitCDC08,
  author = {B. Bamieh and M. R. Jovanović and P. Mitra and S. Patterson},
  title = {Effect of topological dimension on rigidity of vehicle formations: fundamental limitations of local feedback},
  booktitle = {Proceedings of the 47th IEEE Conference on Decision and Control},
  year = {2008},
  pages = {369-374}
}

PWM control of hydraulic cylinder and axial piston hydraulic motor
Cebasek, N.A. and Jovanović, M.R.
In Proceedings of the 5th Triennial International Symposium on Fluid Control, Measurement and Visualization, September, 1997, Vol. 1, pp. 361-366
[BibTeX]

@inproceedings{cebjov97,
  author = {N. A. Cebasek and M. R. Jovanović},
  title = {PWM control of hydraulic cylinder and axial piston hydraulic motor},
  booktitle = {Proceedings of the 5th Triennial International Symposium on Fluid Control, Measurement and Visualization},
  year = {1997},
  volume = {1},
  pages = {361-366}
}

State covariances and the matrix completion problem
Chen, Y., Jovanović, M.R. and Georgiou, T.T.
In Proceedings of the 52nd IEEE Conference on Decision and Control, 2013, pp. 1702-1707
[BibTeX]

@inproceedings{chejovgeoCDC13,
  author = {Y. Chen and M. R. Jovanović and T. T. Georgiou},
  title = {State covariances and the matrix completion problem},
  booktitle = {Proceedings of the 52nd IEEE Conference on Decision and Control},
  year = {2013},
  pages = {1702-1707}
}

Guest Editorial Special Issue on Analysis, Control, and Optimization of Energy Networks
Chertkov, M., Jovanović, M.R., Lesieutre, B., Low, S., van Hentenryck, P. and Wehenkel, L.
IEEE Trans. Control Netw. Syst., September, 2019, Vol. 6 (3), pp. 922-924
[BibTeX] [PDF]

@article{guestTCNS19,
  author = {M. Chertkov and M. R. Jovanović and B. Lesieutre and S. Low and P. van Hentenryck and L. Wehenkel},
  title = {Guest Editorial Special Issue on Analysis, Control, and Optimization of Energy Networks},
  journal = {IEEE Trans. Control Netw. Syst.},
  year = {2019},
  volume = {6},
  number = {3},
  pages = {922-924},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/guestTCNS19.pdf}
}

Convex reformulation of a robust optimal control problem for a class of positive systems
Colombino, M., Dhingra, N., Jovanović, M.R. and Smith, R.S.
In Proceedings of the 55th IEEE Conference on Decision and Control, 2016, pp. 5263-5268
[BibTeX] [PDF]

@inproceedings{coldhijovsmiCDC16,
  author = {M. Colombino and N.K. Dhingra and M. R. Jovanović and R. S. Smith},
  title = {Convex reformulation of a robust optimal control problem for a class of positive systems},
  booktitle = {Proceedings of the 55th IEEE Conference on Decision and Control},
  year = {2016},
  pages = {5263-5268},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/coldhijovsmiCDC16.pdf}
}

On the optimal control problem for a class of monotone bilinear systems
Colombino, M., Dhingra, N.K., Jovanović, M.R., Rantzer, A. and Smith, R.S.
In Proceedings of the 22nd International Symposium on Mathematical Theory of Network and Systems, 2016, pp. 411-413
[BibTeX] [PDF]

@inproceedings{coldhijovransmiMTNS16,
  author = {M. Colombino and N. K. Dhingra and M. R. Jovanović and A. Rantzer and R. S. Smith},
  title = {On the optimal control problem for a class of monotone bilinear systems},
  booktitle = {Proceedings of the 22nd International Symposium on Mathematical Theory of Network and Systems},
  year = {2016},
  pages = {411-413},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/coldhijovransmiMTNS16.pdf}
}

The inaugural CDC soccer cup
Cortes, J., Egerstedt, M. and Jovanović, M.R.
IEEE Control Syst. Mag., June, 2019, Vol. 39 (3), pp. 17-39
[BibTeX] [PDF]

@article{coregejovCSM19,
  author = {J. Cortes and M. Egerstedt and M. R. Jovanović},
  title = {The inaugural CDC soccer cup},
  journal = {IEEE Control Syst. Mag.},
  year = {2019},
  volume = {39},
  number = {3},
  pages = {17-39},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/coregejovCSM19.pdf}
}

Non-Lyapunov stability consideration of linear descriptor systems operating under perturbing forces
Debeljković, D. and Jovanović, M.R.
Advances in Modeling and Analysis, 1997, Vol. 49 (1-2), pp. 1-8
[BibTeX]

@article{debjov97,
  author = {D. Debeljković and M. R. Jovanović},
  title = {Non-Lyapunov stability consideration of linear descriptor systems operating under perturbing forces},
  journal = {Advances in Modeling and Analysis},
  year = {1997},
  volume = {49},
  number = {1-2},
  pages = {1-8}
}

Time continuous control design for linear singular systems on finite time interval
Debeljković, D. and Jovanović, M.R.
In Proceedings of the 40th ETRAN Conference, June, 1996, Vol. 1, pp. 454-457
[BibTeX]

@inproceedings{debjov96,
  author = {D. Debeljković and M. R. Jovanović},
  title = {Time continuous control design for linear singular systems on finite time interval},
  booktitle = {Proceedings of the 40th ETRAN Conference},
  year = {1996},
  volume = {1},
  pages = {454-457}
}

State and noise covariance estimation in power grids using limited nodal PMUs
Deka, D., Zare, A., Lokhov, A., Jovanović, M.R. and Chertkov, M.
In Proceedings of the 5th IEEE Global Conference on Signal and Information Processing, 2017
[BibTeX] [PDF]

@inproceedings{dekzarlokjovcheGSIP17,
  author = {D. Deka and A. Zare and A. Lokhov and M. R. Jovanović and M. Chertkov},
  title = {State and noise covariance estimation in power grids using limited nodal PMUs},
  booktitle = {Proceedings of the 5th IEEE Global Conference on Signal and Information Processing},
  year = {2017},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dekzarlokjovcheGSIP17.pdf}
}

Optimization and control of large-scale networked systems
Dhingra, N.K.
University of MinnesotaUniversity of Minnesota, 2017
[BibTeX] [PDF]

@phdthesis{neil-phd17,
  author = {N. K. Dhingra},
  title = {Optimization and control of large-scale networked systems},
  institution = {University of Minnesota},
  school = {University of Minnesota},
  year = {2017},
  pdf = {/viterbi-web.usc.edu/~mihailo/theses/NeilDhingra-PhD.pdf}
}

Structured decentralized control of positive systems with applications to combination drug therapy and leader selection in directed networks
Dhingra, N.K., Colombino, M. and Jovanović, M.R.
IEEE Trans. Control Netw. Syst., March, 2019, Vol. 6 (1), pp. 352-362
[BibTeX] [PDF]

@article{dhicoljovTCNS19,
  author = {N. K. Dhingra and M. Colombino and M. R. Jovanović},
  title = {Structured decentralized control of positive systems with applications to combination drug therapy and leader selection in directed networks},
  journal = {IEEE Trans. Control Netw. Syst.},
  year = {2019},
  volume = {6},
  number = {1},
  pages = {352-362},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dhicoljovTCNS19.pdf}
}

Leader selection in directed networks
Dhingra, N.K., Colombino, M. and Jovanović, M.R.
In Proceedings of the 55th IEEE Conference on Decision and Control, 2016, pp. 2715-2720
[BibTeX] [PDF]

@inproceedings{dhicoljovCDC16,
  author = {N. K. Dhingra and M. Colombino and M. R. Jovanović},
  title = {Leader selection in directed networks},
  booktitle = {Proceedings of the 55th IEEE Conference on Decision and Control},
  year = {2016},
  pages = {2715-2720},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dhicoljovCDC16.pdf}
}

On the convexity of a class of structured optimal control problems for positive systems
Dhingra, N.K., Colombino, M. and Jovanović, M.R.
In Proceedings of the 2016 European Control Conference, 2016, pp. 825-830
[BibTeX] [PDF]

@inproceedings{dhicoljovECC16,
  author = {N. K. Dhingra and M. Colombino and M. R. Jovanović},
  title = {On the convexity of a class of structured optimal control problems for positive systems},
  booktitle = {Proceedings of the 2016 European Control Conference},
  year = {2016},
  pages = {825-830},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dhicoljovECC16.pdf}
}

On the optimal control problem for a class of monotone bilinear systems
Dhingra, N.K., Colombino, M., Jovanović, M.R., Rantzer, A. and Smith, R.S.
Syst. Control Lett., 2016
[BibTeX] [PDF]

@article{dhicoljovransmiSCL16,
  author = {N. K. Dhingra and M. Colombino and M. R. Jovanović and A. Rantzer and R. S. Smith},
  title = {On the optimal control problem for a class of monotone bilinear systems},
  journal = {Syst. Control Lett.},
  year = {2016},
  note = {submitted; also arXiv:1611.09984},
  pdf = {/arxiv.org/abs/1611.09984}
}

A method of multipliers algorithm for sparsity-promoting optimal control
Dhingra, N.K. and Jovanović, M.R.
In Proceedings of the 2016 American Control Conference, 2016, pp. 1942-1947
[BibTeX] [PDF]

@inproceedings{dhijovACC16,
  author = {N. K. Dhingra and M. R. Jovanović},
  title = {A method of multipliers algorithm for sparsity-promoting optimal control},
  booktitle = {Proceedings of the 2016 American Control Conference},
  year = {2016},
  pages = {1942-1947},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dhijovACC16.pdf}
}

Convex synthesis of symmetric modifications to linear systems
Dhingra, N.K. and Jovanović, M.R.
In Proceedings of the 2015 American Control Conference, 2015, pp. 3583-3588
[BibTeX] [PDF]

@inproceedings{dhijovACC15,
  author = {N. K. Dhingra and M. R. Jovanović},
  title = {Convex synthesis of symmetric modifications to linear systems},
  booktitle = {Proceedings of the 2015 American Control Conference},
  year = {2015},
  pages = {3583-3588},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dhijovACC15.pdf}
}

Optimal sensor and actuator selection for large-scale dynamical systems
Dhingra, N.K., Jovanović, M.R. and Luo, Z.Q.
In Proceedings of the 2015 Asilomar Conference on Signals, Systems, and Computers, 2015
[BibTeX]

@inproceedings{dhijovluoASI15,
  author = {N. K. Dhingra and M. R. Jovanović and Z. Q. Luo},
  title = {Optimal sensor and actuator selection for large-scale dynamical systems},
  booktitle = {Proceedings of the 2015 Asilomar Conference on Signals, Systems, and Computers},
  year = {2015},
  note = {to appear}
}

An ADMM algorithm for optimal sensor and actuator selection
Dhingra, N.K., Jovanović, M.R. and Luo, Z.Q.
In Proceedings of the 53rd IEEE Conference on Decision and Control, 2014, pp. 4039-4044
[BibTeX] [PDF]

@inproceedings{dhijovluoCDC14,
  author = {N. K. Dhingra and M. R. Jovanović and Z. Q. Luo},
  title = {An ADMM algorithm for optimal sensor and actuator selection},
  booktitle = {Proceedings of the 53rd IEEE Conference on Decision and Control},
  year = {2014},
  pages = {4039-4044},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dhijovluoCDC14.pdf}
}

The proximal augmented Lagrangian method for nonsmooth composite optimization
Dhingra, N.K., Khong, S.Z. and Jovanović, M.R.
IEEE Trans. Automat. Control, July, 2019, Vol. 64 (7), pp. 2861-2868
[BibTeX] [PDF]

@article{dhikhojovTAC19,
  author = {N. K. Dhingra and S. Z. Khong and M. R. Jovanović},
  title = {The proximal augmented Lagrangian method for nonsmooth composite optimization},
  journal = {IEEE Trans. Automat. Control},
  year = {2019},
  volume = {64},
  number = {7},
  pages = {2861-2868},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dhikhojovTAC19.pdf}
}

A second order primal-dual algorithm for non-smooth convex composite optimization
Dhingra, N.K., Khong, S.Z. and Jovanović, M.R.
In Proceedings of the 56th IEEE Conference on Decision and Control, 2017, pp. 2868-2873
[BibTeX] [PDF]

@inproceedings{dhikhojovCDC17,
  author = {N. K. Dhingra and S. Z. Khong and M. R. Jovanović},
  title = {A second order primal-dual algorithm for non-smooth convex composite optimization},
  booktitle = {Proceedings of the 56th IEEE Conference on Decision and Control},
  year = {2017},
  pages = {2868-2873},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dhikhojovCDC17.pdf}
}

A second order primal-dual method for nonsmooth convex composite optimization
Dhingra, N.K., Khong, S.Z. and Jovanović, M.R.
IEEE Trans. Automat. Control, 2017
[BibTeX] [PDF]

@article{dhikhojovTAC17,
  author = {N. K. Dhingra and S. Z. Khong and M. R. Jovanović},
  title = {A second order primal-dual method for nonsmooth convex composite optimization},
  journal = {IEEE Trans. Automat. Control},
  year = {2017},
  note = {conditionally accepted; also arXiv:1709.01610},
  pdf = {/arxiv.org/abs/1709.01610}
}

On identifying sparse representations of consensus networks
Dhingra, N.K., Lin, F., Fardad, M. and Jovanović, M.R.
In Preprints of the 3rd IFAC Workshop on Distributed Estimation and Control in Networked Systems, 2012, pp. 305-310
[BibTeX] [PDF]

@inproceedings{dhilinfarjovIFAC12,
  author = {N. K. Dhingra and F. Lin and M. Fardad and M. R. Jovanović},
  title = {On identifying sparse representations of consensus networks},
  booktitle = {Preprints of the 3rd IFAC Workshop on Distributed Estimation and Control in Networked Systems},
  year = {2012},
  pages = {305-310},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/conference/2012/DhingraLinFardadJovanovicIFAC2012.pdf}
}

Sparsity-promoting optimal control of systems with invariances and symmetries
Dhingra, N.K., Wu, X. and Jovanović, M.R.
In Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems, 2016, pp. 648-653
[BibTeX]

@inproceedings{dhiwujovNOL16,
  author = {N. K. Dhingra and X. Wu and M. R. Jovanović},
  title = {Sparsity-promoting optimal control of systems with invariances and symmetries},
  booktitle = {Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems},
  year = {2016},
  pages = {648-653}
}

An exponentially convergent primal-dual algorithm for nonsmooth composite minimization
Ding, D., Hu, B., Dhingra, N.K. and Jovanović, M.R.
In Proceedings of the 57th IEEE Conference on Decision and Control, 2018, pp. 4927-4932
[BibTeX] [PDF]

@inproceedings{dinhudhijovCDC18,
  author = {D. Ding and B. Hu and N. K. Dhingra and M. R. Jovanović},
  title = {An exponentially convergent primal-dual algorithm for nonsmooth composite minimization},
  booktitle = {Proceedings of the 57th IEEE Conference on Decision and Control},
  year = {2018},
  pages = {4927-4932},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dinhudhijovCDC18.pdf}
}

Global exponential stability of primal-dual gradient flow dynamics based on the proximal augmented Lagrangian
Ding, D. and Jovanović, M.R.
In Proceedings of the 2019 American Control Conference, 2019, pp. 3414-3419
[BibTeX] [PDF]

@inproceedings{dinjovACC19,
  author = {D. Ding and M. R. Jovanović},
  title = {Global exponential stability of primal-dual gradient flow dynamics based on the proximal augmented Lagrangian},
  booktitle = {Proceedings of the 2019 American Control Conference},
  year = {2019},
  pages = {3414-3419},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dinjovACC19.pdf}
}

Global exponential stability of primal-dual gradient flow dynamics based on the proximal augmented Lagrangian: A Lyapunov-based approach
Ding, D. and Jovanović, M.R.
IEEE Control Syst. Lett., 2019
[BibTeX] [PDF]

@article{dinjovLCSS19,
  author = {D. Ding and M. R. Jovanović},
  title = {Global exponential stability of primal-dual gradient flow dynamics based on the proximal augmented Lagrangian: A Lyapunov-based approach},
  journal = {IEEE Control Syst. Lett.},
  year = {2019},
  note = {submitted; also arXiv:1910.00783},
  pdf = {/arxiv.org/abs/1910.00783}
}

A primal-dual Laplacian gradient flow dynamics for distributed resource allocation problems
Ding, D. and Jovanović, M.R.
In Proceedings of the 2018 American Control Conference, 2018, pp. 5316-5320
[BibTeX] [PDF]

@inproceedings{dinjovACC18,
  author = {D. Ding and M. R. Jovanović},
  title = {A primal-dual Laplacian gradient flow dynamics for distributed resource allocation problems},
  booktitle = {Proceedings of the 2018 American Control Conference},
  year = {2018},
  pages = {5316-5320},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dinjovACC18.pdf}
}

Distributed robust statistical learning: Byzantine mirror descent
Ding, D., Wei, X. and Jovanović, M.R.
In Proceedings of the 58th IEEE Conference on Decision and Control, 2019, pp. 1822-1827
[BibTeX] [PDF]

@inproceedings{dinweijovCDC19,
  author = {D. Ding and X. Wei and M. R. Jovanović},
  title = {Distributed robust statistical learning: Byzantine mirror descent},
  booktitle = {Proceedings of the 58th IEEE Conference on Decision and Control},
  year = {2019},
  pages = {1822-1827},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dinweijovCDC19.pdf}
}

Provably efficient safe exploration via primal-dual policy optimization
Ding, D., Wei, X., Yang, Z., Wang, Z. and Jovanović, M.R.
In 37th International Conference on Machine Learning, 2020
[BibTeX]

@inproceedings{dinweiyanwanjovICML20,
  author = {D. Ding and X. Wei and Z. Yang and Z. Wang and M. R. Jovanović},
  title = {Provably efficient safe exploration via primal-dual policy optimization},
  booktitle = {37th International Conference on Machine Learning},
  year = {2020}
}

Fast multi-agent temporal-difference learning via homotopy stochastic primal-dual method
Ding, D., Wei, X., Yang, Z., Wang, Z. and Jovanović, M.R.
In Optimization Foundations for Reinforcement Learning Workshop, 33rd Conference on Neural Information Processing Systems, 2019
[BibTeX] [PDF]

@inproceedings{dinweiyanwanjovNIPS19,
  author = {D. Ding and X. Wei and Z. Yang and Z. Wang and M. R. Jovanović},
  title = {Fast multi-agent temporal-difference learning via homotopy stochastic primal-dual method},
  booktitle = {Optimization Foundations for Reinforcement Learning Workshop, 33rd Conference on Neural Information Processing Systems},
  year = {2019},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dinweiyanwanjovNIPS19.pdf}
}

Sparsity-promoting optimal wide-area control of power networks
Dörfler, F., Jovanović, M.R., Chertkov, M. and Bullo, F.
IEEE Trans. Power Syst., September, 2014, Vol. 29 (5), pp. 2281-2291
[BibTeX] [PDF]

@article{dorjovchebulTPS14,
  author = {F. Dörfler and M. R. Jovanović and M. Chertkov and F. Bullo},
  title = {Sparsity-promoting optimal wide-area control of power networks},
  journal = {IEEE Trans. Power Syst.},
  year = {2014},
  volume = {29},
  number = {5},
  pages = {2281-2291},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dorjovchebulTPS14.pdf}
}

Sparse and optimal wide-area damping control in power networks
Dörfler, F., Jovanović, M.R., Chertkov, M. and Bullo, F.
In Proceedings of the 2013 American Control Conference, 2013, pp. 4295-4300
[BibTeX] [PDF]

@inproceedings{dorjovchebulACC13,
  author = {F. Dörfler and M. R. Jovanović and M. Chertkov and F. Bullo},
  title = {Sparse and optimal wide-area damping control in power networks},
  booktitle = {Proceedings of the 2013 American Control Conference},
  year = {2013},
  pages = {4295-4300},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dorjovchebulACC13.pdf}
}

A frequency domain analysis of compressible linearized Navier-Stokes equations in a hypersonic compression ramp flow
Dwivedi, A., Candler, G.V. and Jovanović, M.R.
In Proceedings of the 2020 American Control Conference, 2020
[BibTeX]

@inproceedings{dwicanjovACC20,
  author = {A. Dwivedi and G. V. Candler and M. R. Jovanović},
  title = {A frequency domain analysis of compressible linearized Navier-Stokes equations in a hypersonic compression ramp flow},
  booktitle = {Proceedings of the 2020 American Control Conference},
  year = {2020},
  note = {to appear}
}

Optimal spatial growth of streaks in oblique shockboundary layer interaction/
Dwivedi, A., Nichols, J.W., Jovanović, M.R. and Candler, G.V.
In Proceedings of the 47th AIAA Fluid Dynamics Conference, 2017, pp. 4163 (17 pages)
[BibTeX] [PDF]

@inproceedings{dwinicjovcanAIAA17,
  author = {A. Dwivedi and J. W. Nichols and M. R. Jovanović and G. V. Candler},
  title = {Optimal spatial growth of streaks in oblique shock/boundary layer interaction},
  booktitle = {Proceedings of the 47th AIAA Fluid Dynamics Conference},
  year = {2017},
  pages = {4163 (17 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dwinicjovcanAIAA17.pdf}
}

Input-output analysis of shock boundary layer interaction
Dwivedi, A., Sidharth, G.S., Candler, G.V., Nichols, J.W. and Jovanović, M.R.
In Proceedings of the 48th AIAA Fluid Dynamics Conference, 2018, pp. 3220 (17 pages)
[BibTeX] [PDF]

@inproceedings{dwisidcannicjovAIAA18,
  author = {A. Dwivedi and G. S. Sidharth and G. V. Candler and J. W. Nichols and M. R. Jovanović},
  title = {Input-output analysis of shock boundary layer interaction},
  booktitle = {Proceedings of the 48th AIAA Fluid Dynamics Conference},
  year = {2018},
  pages = {3220 (17 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dwisidcannicjovAIAA18.pdf}
}

Reattachment vortices in hypersonic compression ramp flow: an input-output analysis
Dwivedi, A., Sidharth, G.S., Nichols, J.W., Candler, G.V. and Jovanović, M.R.
J. Fluid Mech., December, 2019, Vol. 880, pp. 113-135
[BibTeX] [PDF]

@article{dwisidniccanjovJFM19,
  author = {A. Dwivedi and G. S. Sidharth and J. W. Nichols and G. V. Candler and M. R. Jovanović},
  title = {Reattachment vortices in hypersonic compression ramp flow: an input-output analysis},
  journal = {J. Fluid Mech.},
  year = {2019},
  volume = {880},
  pages = {113-135},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/dwisidniccanjovJFM19.pdf}
}

On the design of optimal structured and sparse feedback gains using semidefinite programming
Fardad, M. and Jovanović, M.R.
In Proceedings of the 2014 American Control Conference, 2014, pp. 2438-2443
[BibTeX]

@inproceedings{farjovACC14,
  author = {M. Fardad and M. R. Jovanović},
  title = {On the design of optimal structured and sparse feedback gains using semidefinite programming},
  booktitle = {Proceedings of the 2014 American Control Conference},
  year = {2014},
  pages = {2438-2443}
}

Design of optimal controllers for spatially invariant systems with finite communication speed
Fardad, M. and Jovanović, M.R.
Automatica, May, 2011, Vol. 47 (5), pp. 880-889
[BibTeX] [PDF]

@article{farjovAUT11,
  author = {M. Fardad and M. R. Jovanović},
  title = {Design of optimal controllers for spatially invariant systems with finite communication speed},
  journal = {Automatica},
  year = {2011},
  volume = {47},
  number = {5},
  pages = {880-889},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/farjovAUT11.pdf}
}

On the state-space design of optimal controllers for distributed systems with finite communication speed
Fardad, M. and Jovanović, M.R.
In Proceedings of the 47th IEEE Conference on Decision and Control, 2008, pp. 5488-5493
[BibTeX] [PDF]

@inproceedings{farjovCDC08,
  author = {M. Fardad and M. R. Jovanović},
  title = {On the state-space design of optimal controllers for distributed systems with finite communication speed},
  booktitle = {Proceedings of the 47th IEEE Conference on Decision and Control},
  year = {2008},
  pages = {5488-5493},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/farjovCDC08.pdf}
}

Frequency analysis and norms of distributed spatially periodic systems
Fardad, M., Jovanović, M.R. and Bamieh, B.
IEEE Trans. Automat. Control, November, 2008, Vol. 53 (10), pp. 2266-2279
[BibTeX] [PDF]

@article{farjovbam08,
  author = {M. Fardad and M. R. Jovanović and B. Bamieh},
  title = {Frequency analysis and norms of distributed spatially periodic systems},
  journal = {IEEE Trans. Automat. Control},
  year = {2008},
  volume = {53},
  number = {10},
  pages = {2266-2279},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/tac08periodic.pdf}
}

Damping mechanisms in dynamic mode atomic force microscopy applications
Fardad, M., Jovanović, M.R. and Salapaka, M.V.
In Proceedings of the 2009 American Control Conference, 2009, pp. 2272-2277
[BibTeX]

@inproceedings{farjovsalACC09,
  author = {M. Fardad and M. R. Jovanović and M. V. Salapaka},
  title = {Damping mechanisms in dynamic mode atomic force microscopy applications},
  booktitle = {Proceedings of the 2009 American Control Conference},
  year = {2009},
  pages = {2272-2277}
}

Design of optimal sparse interconnection graphs for synchronization of oscillator networks
Fardad, M., Lin, F. and Jovanović, M.R.
IEEE Trans. Automat. Control, September, 2014, Vol. 59 (9), pp. 2457-2462
[BibTeX] [PDF]

@article{farlinjovTAC14sync,
  author = {M. Fardad and F. Lin and M. R. Jovanović},
  title = {Design of optimal sparse interconnection graphs for synchronization of oscillator networks},
  journal = {IEEE Trans. Automat. Control},
  year = {2014},
  volume = {59},
  number = {9},
  pages = {2457-2462},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/farlinjovTAC14sync.pdf}
}

On optimal link creation for facilitation of consensus in social networks
Fardad, M., Lin, F. and Jovanović, M.R.
In Proceedings of the 2014 American Control Conference, 2014, pp. 3802-3807
[BibTeX]

@inproceedings{farlinjovACC14,
  author = {M. Fardad and F. Lin and M. R. Jovanović},
  title = {On optimal link creation for facilitation of consensus in social networks},
  booktitle = {Proceedings of the 2014 American Control Conference},
  year = {2014},
  pages = {3802-3807}
}

On the optimal synchronization of oscillator networks via sparse interconnection graphs
Fardad, M., Lin, F. and Jovanović, M.R.
In Proceedings of the 2012 American Control Conference, 2012, pp. 4777-4782
[BibTeX]

@inproceedings{farlinjovACC12,
  author = {M. Fardad and F. Lin and M. R. Jovanović},
  title = {On the optimal synchronization of oscillator networks via sparse interconnection graphs},
  booktitle = {Proceedings of the 2012 American Control Conference},
  year = {2012},
  pages = {4777-4782}
}

Algorithms for leader selection in large dynamical networks: noise-free leaders
Fardad, M., Lin, F. and Jovanović, M.R.
In Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011, pp. 7188-7193
[BibTeX] [PDF]

@inproceedings{farlinjovCDC11,
  author = {M. Fardad and F. Lin and M. R. Jovanović},
  title = {Algorithms for leader selection in large dynamical networks: noise-free leaders},
  booktitle = {Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference},
  year = {2011},
  pages = {7188-7193},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/farlinjovCDC11.pdf}
}

Sparsity-promoting optimal control for a class of distributed systems
Fardad, M., Lin, F. and Jovanović, M.R.
In Proceedings of the 2011 American Control Conference, 2011, pp. 2050-2055
[BibTeX] [PDF]

@inproceedings{farlinjovACC11,
  author = {M. Fardad and F. Lin and M. R. Jovanović},
  title = {Sparsity-promoting optimal control for a class of distributed systems},
  booktitle = {Proceedings of the 2011 American Control Conference},
  year = {2011},
  pages = {2050-2055},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/farlinjovACC11.pdf}
}

On the dual decomposition of linear quadratic optimal control problems for vehicular formations
Fardad, M., Lin, F. and Jovanović, M.R.
In Proceedings of the 49th IEEE Conference on Decision and Control, 2010, pp. 6287-6292
[BibTeX]

@inproceedings{farlinjovCDC10,
  author = {M. Fardad and F. Lin and M. R. Jovanović},
  title = {On the dual decomposition of linear quadratic optimal control problems for vehicular formations},
  booktitle = {Proceedings of the 49th IEEE Conference on Decision and Control},
  year = {2010},
  pages = {6287-6292}
}

On the optimal design of structured feedback gains for interconnected systems
Fardad, M., Lin, F. and Jovanović, M.R.
In Proceedings of the 48th IEEE Conference on Decision and Control, 2009, pp. 978-983
[BibTeX]

@inproceedings{farlinjovCDC09,
  author = {M. Fardad and F. Lin and M. R. Jovanović},
  title = {On the optimal design of structured feedback gains for interconnected systems},
  booktitle = {Proceedings of the 48th IEEE Conference on Decision and Control},
  year = {2009},
  pages = {978-983}
}

On new characterizations of social influence in social networks
Fardad, M., Lin, F., Zhang, X. and Jovanović, M.R.
In Proceedings of the 2013 American Control Conference, 2013, pp. 4784-4789
[BibTeX]

@inproceedings{farlinzhajovACC13,
  author = {M. Fardad and F. Lin and X. Zhang and M. R. Jovanović},
  title = {On new characterizations of social influence in social networks},
  booktitle = {Proceedings of the 2013 American Control Conference},
  year = {2013},
  pages = {4784-4789}
}

On the properties of optimal weak links in consensus networks
Fardad, M., Zhang, X., Lin, F. and Jovanović, M.R.
In Proceedings of the 53rd IEEE Conference on Decision and Control, 2014, pp. 2124-2129
[BibTeX] [PDF]

@inproceedings{farzhalinjovCDC14,
  author = {M. Fardad and X. Zhang and F. Lin and M. R. Jovanović},
  title = {On the properties of optimal weak links in consensus networks},
  booktitle = {Proceedings of the 53rd IEEE Conference on Decision and Control},
  year = {2014},
  pages = {2124-2129},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/farzhalinjovCDC14.pdf}
}

On the optimal dissemination of information in social networks
Fardad, M., Zhang, X., Lin, F. and Jovanović, M.R.
In Proceedings of the 51th IEEE Conference on Decision and Control, 2012, pp. 2539-2544
[BibTeX] [PDF]

@inproceedings{farzhalinjovCDC12,
  author = {M. Fardad and X. Zhang and F. Lin and M. R. Jovanović},
  title = {On the optimal dissemination of information in social networks},
  booktitle = {Proceedings of the 51th IEEE Conference on Decision and Control},
  year = {2012},
  pages = {2539-2544},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/conference/2012/FardadZhangLinJovanovicCDC2012.pdf}
}

Dynamics of the roll and streak structure in transition and turbulence
Farrell, B.F., Gayme, D.F., Ioannou, P.J., Lieu, B.K. and Jovanović, M.R.
In Proceedings of the 2012 Summer Program, 2012, pp. 43-54
[BibTeX]

@inproceedings{fargayioaliejovCTR12,
  author = {B. F. Farrell and D. F. Gayme and P. J. Ioannou and B. K. Lieu and M. R. Jovanović},
  title = {Dynamics of the roll and streak structure in transition and turbulence},
  booktitle = {Proceedings of the 2012 Summer Program},
  year = {2012},
  pages = {43-54}
}

The use of the r* heuristic in covariance completion problems
Grussler, C., Zare, A., Jovanović, M.R. and Rantzer, A.
In Proceedings of the 55th IEEE Conference on Decision and Control, 2016, pp. 1978-1983
[BibTeX] [PDF]

@inproceedings{gruzarjovranCDC16,
  author = {C. Grussler and A. Zare and M. R. Jovanović and A. Rantzer},
  title = {The use of the r* heuristic in covariance completion problems},
  booktitle = {Proceedings of the 55th IEEE Conference on Decision and Control},
  year = {2016},
  pages = {1978-1983},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/gruzarjovranCDC16.pdf}
}

Amplification of localized body forces in channel flows of viscoelastic fluids
Hariharan, G., Jovanović, M.R. and Kumar, S.
J. Non-Newtonian Fluid Mech., October, 2018, Vol. 260, pp. 40-53
[BibTeX] [PDF]

@article{harjovkumJNNFM18,
  author = {G. Hariharan and M. R. Jovanović and S. Kumar},
  title = {Amplification of localized body forces in channel flows of viscoelastic fluids},
  journal = {J. Non-Newtonian Fluid Mech.},
  year = {2018},
  volume = {260},
  pages = {40-53},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/harjovkumJNNFM18.pdf}
}

Spatio-temporal impulse responses in channel flow of viscoelastic fluids
Hariharan, G., Jovanović, M.R. and Kumar, S.
In Proceedings of the 2018 American Control Conference, 2018, pp. 2857-2862
[BibTeX] [PDF]

@inproceedings{harjovkumACC18,
  author = {G. Hariharan and M. R. Jovanović and S. Kumar},
  title = {Spatio-temporal impulse responses in channel flow of viscoelastic fluids},
  booktitle = {Proceedings of the 2018 American Control Conference},
  year = {2018},
  pages = {2857-2862},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/harjovkumACC18.pdf}
}

Analysis, design, and optimization of large-scale networks of dynamical systems
Hassan-Moghaddam, S.
University of Southern CaliforniaUniversity of Southern California, 2019
[BibTeX] [PDF]

@phdthesis{sepideh-phd19,
  author = {S. Hassan-Moghaddam},
  title = {Analysis, design, and optimization of large-scale networks of dynamical systems},
  institution = {University of Southern California},
  school = {University of Southern California},
  year = {2019},
  pdf = {/viterbi-web.usc.edu/~mihailo/theses/SepidehHassanMoghaddam-PhD.pdf}
}

Topology identification of undirected consensus networks via sparse inverse covariance estimation
Hassan-Moghaddam, S., Dhingra, N.K. and Jovanović, M.R.
In Proceedings of the 55th IEEE Conference on Decision and Control, 2016, pp. 4624-4629
[BibTeX] [PDF]

@inproceedings{mogdhijovCDC16,
  author = {S. Hassan-Moghaddam and N. K. Dhingra and M. R. Jovanović},
  title = {Topology identification of undirected consensus networks via sparse inverse covariance estimation},
  booktitle = {Proceedings of the 55th IEEE Conference on Decision and Control},
  year = {2016},
  pages = {4624-4629},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogdhijovCDC16.pdf}
}

Global exponential stability of the Douglas-Rachford splitting dynamics
Hassan-Moghaddam, S. and Jovanović, M.R.
In Preprints of the 21th IFAC World Congress, 2020
[BibTeX]

@inproceedings{mogjovIFAC20,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {Global exponential stability of the Douglas-Rachford splitting dynamics},
  booktitle = {Preprints of the 21th IFAC World Congress},
  year = {2020},
  note = {to appear}
}

Proximal gradient flow and Douglas-Rachford splitting dynamics: global exponential stability via integral quadratic constraints
Hassan-Moghaddam, S. and Jovanović, M.R.
Automatica, 2019
[BibTeX] [PDF]

@article{mogjovAUT19,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {Proximal gradient flow and Douglas-Rachford splitting dynamics: global exponential stability via integral quadratic constraints},
  journal = {Automatica},
  year = {2019},
  note = {submitted; also arXiv:1908.09043},
  pdf = {/arxiv.org/abs/1908.09043}
}

Distributed proximal augmented Lagrangian method for nonsmooth composite optimization
Hassan-Moghaddam, S. and Jovanović, M.R.
In Proceedings of the 2018 American Control Conference, 2018, pp. 2047-2052
[BibTeX] [PDF]

@inproceedings{mogjovACC18,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {Distributed proximal augmented Lagrangian method for nonsmooth composite optimization},
  booktitle = {Proceedings of the 2018 American Control Conference},
  year = {2018},
  pages = {2047-2052},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogjovACC18.pdf}
}

On the exponential convergence rate of proximal gradient flow algorithms
Hassan-Moghaddam, S. and Jovanović, M.R.
In Proceedings of the 57th IEEE Conference on Decision and Control, 2018, pp. 4246-4251
[BibTeX] [PDF]

@inproceedings{mogjovCDC18a,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {On the exponential convergence rate of proximal gradient flow algorithms},
  booktitle = {Proceedings of the 57th IEEE Conference on Decision and Control},
  year = {2018},
  pages = {4246-4251},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogjovCDC18a.pdf}
}

Topology design for stochastically-forced consensus networks
Hassan-Moghaddam, S. and Jovanović, M.R.
IEEE Trans. Control Netw. Syst., September, 2018, Vol. 5 (3), pp. 1075-1086
[BibTeX] [PDF]

@article{mogjovTCNS18,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {Topology design for stochastically-forced consensus networks},
  journal = {IEEE Trans. Control Netw. Syst.},
  year = {2018},
  volume = {5},
  number = {3},
  pages = {1075-1086},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogjovTCNS18.pdf}
}

Topology identification via growing a Chow-Liu tree network
Hassan-Moghaddam, S. and Jovanović, M.R.
In Proceedings of the 57th IEEE Conference on Decision and Control, 2018, pp. 5421-5426
[BibTeX] [PDF]

@inproceedings{mogjovCDC18b,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {Topology identification via growing a Chow-Liu tree network},
  booktitle = {Proceedings of the 57th IEEE Conference on Decision and Control},
  year = {2018},
  pages = {5421-5426},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogjovCDC18b.pdf}
}

Distributed design of optimal structured feedback gains
Hassan-Moghaddam, S. and Jovanović, M.R.
In Proceedings of the 56th IEEE Conference on Decision and Control, 2017, pp. 6586-6591
[BibTeX] [PDF]

@inproceedings{mogjovCDC17,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {Distributed design of optimal structured feedback gains},
  booktitle = {Proceedings of the 56th IEEE Conference on Decision and Control},
  year = {2017},
  pages = {6586-6591},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogjovCDC17.pdf}
}

Customized algorithms for growing connected resistive networks
Hassan-Moghaddam, S. and Jovanović, M.R.
In Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems, 2016, pp. 986-991
[BibTeX] [PDF]

@inproceedings{mogjovNOL16,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {Customized algorithms for growing connected resistive networks},
  booktitle = {Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems},
  year = {2016},
  pages = {986-991},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogjovNOL16.pdf}
}

An interior point method for growing connected resistive networks
Hassan-Moghaddam, S. and Jovanović, M.R.
In Proceedings of the 2015 American Control Conference, 2015, pp. 1223-1228
[BibTeX] [PDF]

@inproceedings{mogjovACC15,
  author = {S. Hassan-Moghaddam and M. R. Jovanović},
  title = {An interior point method for growing connected resistive networks},
  booktitle = {Proceedings of the 2015 American Control Conference},
  year = {2015},
  pages = {1223-1228},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogjovACC15.pdf}
}

Data-driven proximal algorithms for the design of structured optimal feedback gains
Hassan-Moghaddam, S., Jovanović, M.R. and Meyn, S.
In Proceedings of the 2019 American Control Conference, 2019, pp. 5846-5850
[BibTeX] [PDF]

@inproceedings{mogjovmeyACC19,
  author = {S. Hassan-Moghaddam and M. R. Jovanović and S. Meyn},
  title = {Data-driven proximal algorithms for the design of structured optimal feedback gains},
  booktitle = {Proceedings of the 2019 American Control Conference},
  year = {2019},
  pages = {5846-5850},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogjovmeyACC19.pdf}
}

Edge addition in directed consensus networks
Hassan-Moghaddam, S., Wu, X. and Jovanović, M.R.
In Proceedings of the 2017 American Control Conference, 2017, pp. 5592-5597
[BibTeX] [PDF]

@inproceedings{mogwujovACC17,
  author = {S. Hassan-Moghaddam and X. Wu and M. R. Jovanović},
  title = {Edge addition in directed consensus networks},
  booktitle = {Proceedings of the 2017 American Control Conference},
  year = {2017},
  pages = {5592-5597},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mogwujovACC17.pdf}
}

Sensitivity analysis for the control of oblique shock wavelaminar boundary layer interactions at Mach 5.92/
Hildebrand, N., Dwivedi, A., Nichols, J.W., Candler, G.V. and Jovanović, M.R.
In Proceedings of the 47th AIAA Fluid Dynamics Conference, 2017, pp. 4312 (14 pages)
[BibTeX] [PDF]

@inproceedings{hildwiniccanjovAIAA17,
  author = {N. Hildebrand and A. Dwivedi and J. W. Nichols and G. V. Candler and M. R. Jovanović},
  title = {Sensitivity analysis for the control of oblique shock wave/laminar boundary layer interactions at Mach 5.92},
  booktitle = {Proceedings of the 47th AIAA Fluid Dynamics Conference},
  year = {2017},
  pages = {4312 (14 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/hildwiniccanjovAIAA17.pdf}
}

Simulation and stability analysis of oblique shock waveboundary layer interactions at Mach 5.92/
Hildebrand, N., Dwivedi, A., Nichols, J.W., Jovanović, M.R. and Candler, G.V.
Phys. Rev. Fluids, January, 2018, Vol. 3 (1), pp. 013906 (23 pages)
[BibTeX] [PDF]

@article{hildwinicjovcanPRF18,
  author = {N. Hildebrand and A. Dwivedi and J. W. Nichols and M. R. Jovanović and G. V. Candler},
  title = {Simulation and stability analysis of oblique shock wave/boundary layer interactions at Mach 5.92},
  journal = {Phys. Rev. Fluids},
  year = {2018},
  volume = {3},
  number = {1},
  pages = {013906 (23 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/hildwinicjovcanPRF18.pdf}
}

Instabilities in laminar shock boundary layer interactions
Hildebrand, N., Dwivedi, A., Sidharth, G.S., Nichols, J.W., Jovanović, M.R. and Candler, G.V.
In Proceedings of the 2019 IUTAM Symposium on Laminar-Turbulent Transition, 2019
[BibTeX]

@inproceedings{hildwisidnicjovcanIUTAM19,
  author = {N. Hildebrand and A. Dwivedi and G. S. Sidharth and J. W. Nichols and M. R. Jovanović and G. V. Candler},
  title = {Instabilities in laminar shock boundary layer interactions},
  booktitle = {Proceedings of the 2019 IUTAM Symposium on Laminar-Turbulent Transition},
  year = {2019},
  note = {to appear}
}

Transient growth in oblique shock wavelaminar boundary layer interactions at Mach 5.92/
Hildebrand, N., Nichols, J.W., Candler, G.V. and Jovanović, M.R.
In Proceedings of the 48th AIAA Fluid Dynamics Conference, 2018, pp. 3221 (17 pages)
[BibTeX] [PDF]

@inproceedings{hilniccanjovAIAA18,
  author = {N. Hildebrand and J. W. Nichols and G. V. Candler and M. R. Jovanović},
  title = {Transient growth in oblique shock wave/laminar boundary layer interactions at Mach 5.92},
  booktitle = {Proceedings of the 48th AIAA Fluid Dynamics Conference},
  year = {2018},
  pages = {3221 (17 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/hilniccanjovAIAA18.pdf}
}

Transient growth analysis of oblique shock-waveboundary-layer interactions in a hypersonic flow/
Hildebrand, N., Nichols, J.W., Jovanović, M.R. and Candler, G.V.
Phys. Rev. Fluids, 2019
[BibTeX] [PDF]

@article{hilnicjovcanPRF19,
  author = {N. Hildebrand and J. W. Nichols and M. R. Jovanović and G. V. Candler},
  title = {Transient growth analysis of oblique shock-wave/boundary-layer interactions in a hypersonic flow},
  journal = {Phys. Rev. Fluids},
  year = {2019},
  note = {submitted; also arXiv:1901.09132},
  pdf = {/arxiv.org/abs/1901.09132}
}

Frequency responses of streamwise-constant perturbations in channel flows of Oldroyd-B fluids
Hoda, N., Jovanović, M.R. and Kumar, S.
J. Fluid Mech., April, 2009, Vol. 625, pp. 411-434
[BibTeX] [PDF]

@article{hodjovkumJFM09,
  author = {N. Hoda and M. R. Jovanović and S. Kumar},
  title = {Frequency responses of streamwise-constant perturbations in channel flows of Oldroyd-B fluids},
  journal = {J. Fluid Mech.},
  year = {2009},
  volume = {625},
  pages = {411-434},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jfm09.pdf}
}

Energy amplification in channel flows of viscoelastic fluids
Hoda, N., Jovanović, M.R. and Kumar, S.
J. Fluid Mech., April, 2008, Vol. 601, pp. 407-424
[BibTeX] [PDF]

@article{hodjovkumJFM08,
  author = {N. Hoda and M. R. Jovanović and S. Kumar},
  title = {Energy amplification in channel flows of viscoelastic fluids},
  journal = {J. Fluid Mech.},
  year = {2008},
  volume = {601},
  pages = {407-424},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jfm08.pdf}
}

Input-output analysis of the 2D3C model in channel flows of viscoelastic fluids/
Hoda, N., Jovanović, M.R. and Kumar, S.
In Proceedings of the 47th IEEE Conference on Decision and Control, 2008, pp. 841-846
[BibTeX]

@inproceedings{hodjovkumCDC08,
  author = {N. Hoda and M. R. Jovanović and S. Kumar},
  title = {Input-output analysis of the 2D/3C model in channel flows of viscoelastic fluids},
  booktitle = {Proceedings of the 47th IEEE Conference on Decision and Control},
  year = {2008},
  pages = {841-846},
  note = {(Invited paper)}
}

Input-output analysis of heated axisymmetric turbulent jets
Jeun, J., Nichols, J.W. and Jovanović, M.R.
In Proceedings of the 22nd AIAA/CEAS Aeroacoustics Conference, 2016, pp. 2934 (13 pages)
[BibTeX] [PDF]

@inproceedings{jeunicjovAIAA16,
  author = {J. Jeun and J. W. Nichols and M. R. Jovanović},
  title = {Input-output analysis of heated axisymmetric turbulent jets},
  booktitle = {Proceedings of the 22nd AIAA/CEAS Aeroacoustics Conference},
  year = {2016},
  pages = {2934 (13 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jeunicjovAIAA16.pdf}
}

Input-output analysis of high-speed axisymmetric isothermal jet noise
Jeun, J., Nichols, J.W. and Jovanović, M.R.
Phys. Fluids, April, 2016, Vol. 28 (4), pp. 047101 (20 pages)
[BibTeX] [PDF]

@article{jeunicjovPOF16,
  author = {J. Jeun and J. W. Nichols and M. R. Jovanović},
  title = {Input-output analysis of high-speed axisymmetric isothermal jet noise},
  journal = {Phys. Fluids},
  year = {2016},
  volume = {28},
  number = {4},
  pages = {047101 (20 pages)},
  note = {(Editor's Pick)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jeunicjovPOF16.pdf}
}

From bypass transition to flow control and data-driven turbulence modeling: An input-output viewpoint
Jovanović, M.R.
Annu. Rev. Fluid Mech., 2020
[BibTeX] [PDF]

@article{jovARFM20,
  author = {M. R. Jovanović},
  title = {From bypass transition to flow control and data-driven turbulence modeling: An input-output viewpoint},
  journal = {Annu. Rev. Fluid Mech.},
  year = {2020},
  note = {submitted; also arXiv:2003.10104},
  pdf = {/arxiv.org/abs/2003.10104}
}

Vehicular Chains
Jovanović, M.R.
Springer-Verlag LondonIn Encyclopedia of Systems and Control, 2014, pp. 1-10
[BibTeX] [PDF]

@incollection{jovEC14,
  author = {M. R. Jovanović},
  title = {Vehicular Chains},
  booktitle = {Encyclopedia of Systems and Control},
  publisher = {Springer-Verlag London},
  year = {2014},
  pages = {1-10},
  note = {doi:10.1007/978-1-4471-5102-921-1},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jovESC14.pdf}
}

On the optimality of localized distributed controllers
Jovanović, M.R.
Int. J. Systems, Control and Communications, 2010, Vol. 2 (123), pp. 82-99
[BibTeX] [PDF]

@article{jovIO10,
  author = {M. R. Jovanović},
  title = {On the optimality of localized distributed controllers},
  journal = {Int. J. Systems, Control and Communications},
  year = {2010},
  volume = {2},
  number = {1/2/3},
  pages = {82-99},
  note = {Special issue on Information Processing and Decision Making in Distributed Control Systems},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jovIO10.pdf}
}

Turbulence suppression in channel flows by small amplitude transverse wall oscillations
Jovanović, M.R.
Phys. Fluids, January, 2008, Vol. 20 (1), pp. 014101 (11 pages)
[BibTeX] [PDF]

@article{jovPOF08,
  author = {M. R. Jovanović},
  title = {Turbulence suppression in channel flows by small amplitude transverse wall oscillations},
  journal = {Phys. Fluids},
  year = {2008},
  volume = {20},
  number = {1},
  pages = {014101 (11 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/pof08.pdf}
}

H_2 norm of linear time-periodic systems: a perturbation analysis
Jovanović, M.R.
In Proceedings of the 2006 American Control Conference, 2006, pp. 1452-1457
[BibTeX]

@inproceedings{jovACC06h2pert,
  author = {M. R. Jovanović},
  title = {H_2 norm of linear time-periodic systems: a perturbation analysis},
  booktitle = {Proceedings of the 2006 American Control Conference},
  year = {2006},
  pages = {1452-1457}
}

Turbulence suppression in channel flows by small amplitude transverse wall oscillations
Jovanović, M.R.
In Proceedings of the 2006 American Control Conference, 2006, pp. 1161-1166
[BibTeX]

@inproceedings{jovACC06two,
  author = {M. R. Jovanović},
  title = {Turbulence suppression in channel flows by small amplitude transverse wall oscillations},
  booktitle = {Proceedings of the 2006 American Control Conference},
  year = {2006},
  pages = {1161-1166},
  note = {(Invited paper)}
}

On the optimality of localized distributed controllers
Jovanović, M.R.
In Proceedings of the 2005 American Control Conference, 2005, pp. 4583-4588
[BibTeX] [PDF]

@inproceedings{jovACC05,
  author = {M. R. Jovanović},
  title = {On the optimality of localized distributed controllers},
  booktitle = {Proceedings of the 2005 American Control Conference},
  year = {2005},
  pages = {4583-4588},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/acc05io.pdf}
}

Modeling, analysis, and control of spatially distributed systems
Jovanović, M.R.
University of California, Santa BarbaraUniversity of California, Santa Barbara, 2004
[BibTeX] [PDF]

@phdthesis{mj-phd04,
  author = {M. R. Jovanović},
  title = {Modeling, analysis, and control of spatially distributed systems},
  institution = {University of California, Santa Barbara},
  school = {University of California, Santa Barbara},
  year = {2004},
  pdf = {/viterbi-web.usc.edu/~mihailo/theses/mj-thesis.pdf}
}

Nonlinear control of an electrohydraulic velocity servosystem
Jovanović, M.R.
In Proceedings of the 2002 American Control Conference, 2002, pp. 588-593
[BibTeX] [PDF]

@inproceedings{jovACC02,
  author = {M. R. Jovanović},
  title = {Nonlinear control of an electrohydraulic velocity servosystem},
  booktitle = {Proceedings of the 2002 American Control Conference},
  year = {2002},
  pages = {588-593},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/acc02.pdf}
}

The jth order practical tracking
Jovanović, M.R.
In Proceedings of the 6th International Conference on Systems, Automatic Control and Measurements, 1998
[BibTeX]

@inproceedings{jov98,
  author = {M. R. Jovanović},
  title = {The jth order practical tracking},
  booktitle = {Proceedings of the 6th International Conference on Systems, Automatic Control and Measurements},
  year = {1998}
}

A passivity-based approach to stability of spatially distributed systems with a cyclic interconnection structure
Jovanović, M.R., Arcak, M. and Sontag, E.D.
IEEE Trans. Automat. Control: Special Issue on Systems Biology, January, 2008, Vol. 53, pp. 75-86
[BibTeX] [PDF]

@article{jovarcsonTAC08,
  author = {M. R. Jovanović and M. Arcak and E. D. Sontag},
  title = {A passivity-based approach to stability of spatially distributed systems with a cyclic interconnection structure},
  journal = {IEEE Trans. Automat. Control: Special Issue on Systems Biology},
  year = {2008},
  volume = {53},
  pages = {75-86},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/tac08secant.pdf}
}

Remarks on the stability of spatially distributed systems with a cyclic interconnection structure
Jovanović, M.R., Arcak, M. and Sontag, E.D.
In Proceedings of the 2007 American Control Conference, 2007, pp. 2696-2701
[BibTeX]

@inproceedings{jovarcsonACC07,
  author = {M. R. Jovanović and M. Arcak and E. D. Sontag},
  title = {Remarks on the stability of spatially distributed systems with a cyclic interconnection structure},
  booktitle = {Proceedings of the 2007 American Control Conference},
  year = {2007},
  pages = {2696-2701}
}

Architecture induced by distributed backstepping design
Jovanović, M.R. and Bamieh, B.
IEEE Trans. Automat. Control, January, 2007, Vol. 52 (1), pp. 108-113
[BibTeX] [PDF]

@article{jovbamTAC07arc,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Architecture induced by distributed backstepping design},
  journal = {IEEE Trans. Automat. Control},
  year = {2007},
  volume = {52},
  number = {1},
  pages = {108-113},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/tac07arc.pdf}
}

A formula for frequency responses of distributed systems with one spatial variable
Jovanović, M.R. and Bamieh, B.
Syst. Control Lett., January, 2006, Vol. 55 (1), pp. 27-37
[BibTeX] [PDF]

@article{jovbamSCL06,
  author = {M. R. Jovanović and B. Bamieh},
  title = {A formula for frequency responses of distributed systems with one spatial variable},
  journal = {Syst. Control Lett.},
  year = {2006},
  volume = {55},
  number = {1},
  pages = {27-37},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/scl06.pdf}
}

Componentwise energy amplification in channel flows
Jovanović, M.R. and Bamieh, B.
J. Fluid Mech., July, 2005, Vol. 534, pp. 145-183
[BibTeX] [PDF]

@article{jovbamJFM05,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Componentwise energy amplification in channel flows},
  journal = {J. Fluid Mech.},
  year = {2005},
  volume = {534},
  pages = {145-183},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jfm05.pdf}
}

Lyapunov-based distributed control of systems on lattices
Jovanović, M.R. and Bamieh, B.
IEEE Trans. Automat. Control, April, 2005, Vol. 50 (4), pp. 422-433
[BibTeX] [PDF]

@article{jovbamTAC05lattice,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Lyapunov-based distributed control of systems on lattices},
  journal = {IEEE Trans. Automat. Control},
  year = {2005},
  volume = {50},
  number = {4},
  pages = {422-433},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/tac05lattice.pdf}
}

On the ill-posedness of certain vehicular platoon control problems
Jovanović, M.R. and Bamieh, B.
IEEE Trans. Automat. Control, September, 2005, Vol. 50 (9), pp. 1307-1321
[BibTeX] [PDF]

@article{jovbamTAC05platoons,
  author = {M. R. Jovanović and B. Bamieh},
  title = {On the ill-posedness of certain vehicular platoon control problems},
  journal = {IEEE Trans. Automat. Control},
  year = {2005},
  volume = {50},
  number = {9},
  pages = {1307-1321},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/tac05platoons.pdf}
}

Architecture induced by distributed backstepping design
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 43rd IEEE Conference on Decision and Control, 2004, pp. 3774-3779
[BibTeX] [PDF]

@inproceedings{jovbamCDC04arc,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Architecture induced by distributed backstepping design},
  booktitle = {Proceedings of the 43rd IEEE Conference on Decision and Control},
  year = {2004},
  pages = {3774-3779},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/cdc04arc.pdf}
}

On the ill-posedness of certain vehicular platoon control problems
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 43rd IEEE Conference on Decision and Control, 2004, pp. 3780-3785
[BibTeX] [PDF]

@inproceedings{jovbamCDC04platoons,
  author = {M. R. Jovanović and B. Bamieh},
  title = {On the ill-posedness of certain vehicular platoon control problems},
  booktitle = {Proceedings of the 43rd IEEE Conference on Decision and Control},
  year = {2004},
  pages = {3780-3785},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/cdc04platoons.pdf}
}

Unstable modes versus non-normal modes in supercritical channel flows
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 2004 American Control Conference, 2004, pp. 2245-2250
[BibTeX] [PDF]

@inproceedings{jovbamACC04,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Unstable modes versus non-normal modes in supercritical channel flows},
  booktitle = {Proceedings of the 2004 American Control Conference},
  year = {2004},
  pages = {2245-2250},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/acc04fh.pdf}
}

Exact computation of frequency responses for a class of infinite dimensional systems
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 42nd IEEE Conference on Decision and Control, 2003, pp. 1339-1344
[BibTeX] [PDF]

@inproceedings{jovbamCDC03fr-exact,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Exact computation of frequency responses for a class of infinite dimensional systems},
  booktitle = {Proceedings of the 42nd IEEE Conference on Decision and Control},
  year = {2003},
  pages = {1339-1344},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/cdc03fr-exact.pdf}
}

Frequency domain analysis of the linearized Navier-Stokes equations
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 2003 American Control Conference, 2003, pp. 3190-3195
[BibTeX] [PDF]

@inproceedings{jovbamACC03fr-lnse,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Frequency domain analysis of the linearized Navier-Stokes equations},
  booktitle = {Proceedings of the 2003 American Control Conference},
  year = {2003},
  pages = {3190-3195},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/acc03fr-lnse.pdf}
}

Lyapunov-based output-feedback distributed control of systems on lattices
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 42nd IEEE Conference on Decision and Control, 2003, pp. 1333-1338
[BibTeX] [PDF]

@inproceedings{jovbamCDC03lattice,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Lyapunov-based output-feedback distributed control of systems on lattices},
  booktitle = {Proceedings of the 42nd IEEE Conference on Decision and Control},
  year = {2003},
  pages = {1333-1338},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/cdc03lattice-out.pdf}
}

Lyapunov-based state-feedback distributed control of systems on lattices
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 2003 American Control Conference, 2003, pp. 101-106
[BibTeX] [PDF]

@inproceedings{jovbamACC03lattice,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Lyapunov-based state-feedback distributed control of systems on lattices},
  booktitle = {Proceedings of the 2003 American Control Conference},
  year = {2003},
  pages = {101-106},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/acc03lattice-state.pdf}
}

Modelling flow statistics using the linearized Navier-Stokes equations
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 40th IEEE Conference on Decision and Control, 2001, pp. 4944-4949
[BibTeX] [PDF]

@inproceedings{jovbamCDC01,
  author = {M. R. Jovanović and B. Bamieh},
  title = {Modelling flow statistics using the linearized Navier-Stokes equations},
  booktitle = {Proceedings of the 40th IEEE Conference on Decision and Control},
  year = {2001},
  pages = {4944-4949},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/cdc01.pdf}
}

The spatio-temporal impulse response of the linearized Navier-Stokes equations
Jovanović, M.R. and Bamieh, B.
In Proceedings of the 2001 American Control Conference, 2001, pp. 1948-1953
[BibTeX] [PDF]

@inproceedings{jovbamACC01,
  author = {M. R. Jovanović and B. Bamieh},
  title = {The spatio-temporal impulse response of the linearized Navier-Stokes equations},
  booktitle = {Proceedings of the 2001 American Control Conference},
  year = {2001},
  pages = {1948-1953},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/acc01.pdf}
}

Parametric resonance in spatially distributed systems
Jovanović, M.R., Bamieh, B. and Grebeck, M.
In Proceedings of the 2003 American Control Conference, 2003, pp. 119-124
[BibTeX] [PDF]

@inproceedings{jovbamgreACC03,
  author = {M. R. Jovanović and B. Bamieh and M. Grebeck},
  title = {Parametric resonance in spatially distributed systems},
  booktitle = {Proceedings of the 2003 American Control Conference},
  year = {2003},
  pages = {119-124},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/acc03periodic.pdf}
}

Stability of linear singular systems on finite time interval under perturbing forces
Jovanović, M.R. and Debeljković, D.
In Proceedings of the 40th ETRAN Conference, June, 1996, Vol. 1, pp. 451-453
[BibTeX]

@inproceedings{jovdeb96,
  author = {M. R. Jovanović and D. Debeljković},
  title = {Stability of linear singular systems on finite time interval under perturbing forces},
  booktitle = {Proceedings of the 40th ETRAN Conference},
  year = {1996},
  volume = {1},
  pages = {451-453}
}

Controller architectures: tradeoffs between performance and structure
Jovanović, M.R. and Dhingra, N.K.
Eur. J. Control, July, 2016, Vol. 30, pp. 76-91
[BibTeX] [PDF]

@article{jovdhiEJC16,
  author = {M. R. Jovanović and N. K. Dhingra},
  title = {Controller architectures: tradeoffs between performance and structure},
  journal = {Eur. J. Control},
  year = {2016},
  volume = {30},
  pages = {76-91},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jovdhiEJC16.pdf}
}

H_2 norm of linear time-periodic systems: a perturbation analysis
Jovanović, M.R. and Fardad, M.
Automatica, August, 2008, Vol. 44 (8), pp. 2090-2098
[BibTeX] [PDF]

@article{jovfarAUT08,
  author = {M. R. Jovanović and M. Fardad},
  title = {H_2 norm of linear time-periodic systems: a perturbation analysis},
  journal = {Automatica},
  year = {2008},
  volume = {44},
  number = {8},
  pages = {2090-2098},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/aut08h2pert.pdf}
}

On the peaking phenomenon in the control of vehicular platoons
Jovanović, M.R., Fowler, J.M., Bamieh, B. and D'Andrea, R.
Syst. Control Lett., July, 2008, Vol. 57 (7), pp. 528-537
[BibTeX] [PDF]

@article{jovfowbamdan08,
  author = {M. R. Jovanović and J. M. Fowler and B. Bamieh and R. D'Andrea},
  title = {On the peaking phenomenon in the control of vehicular platoons},
  journal = {Syst. Control Lett.},
  year = {2008},
  volume = {57},
  number = {7},
  pages = {528-537},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/scl08peaking.pdf}
}

On avoiding saturation in the control of vehicular platoons
Jovanović, M.R., Fowler, J.M., Bamieh, B. and D'Andrea, R.
In Proceedings of the 2004 American Control Conference, 2004, pp. 2257-2262
[BibTeX] [PDF]

@inproceedings{jovfowbamdanACC04,
  author = {M. R. Jovanović and J. M. Fowler and B. Bamieh and R. D'Andrea},
  title = {On avoiding saturation in the control of vehicular platoons},
  booktitle = {Proceedings of the 2004 American Control Conference},
  year = {2004},
  pages = {2257-2262},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/acc04peaking.pdf}
}

Nonmodal amplification of stochastic disturbances in strongly elastic channel flows
Jovanović, M.R. and Kumar, S.
J. Non-Newtonian Fluid Mech., August, 2011, Vol. 166 (14-15), pp. 755-778
[BibTeX] [PDF]

@article{jovkumJNNFM11,
  author = {M. R. Jovanović and S. Kumar},
  title = {Nonmodal amplification of stochastic disturbances in strongly elastic channel flows},
  journal = {J. Non-Newtonian Fluid Mech.},
  year = {2011},
  volume = {166},
  number = {14-15},
  pages = {755-778},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jovkumJNNFM11.pdf}
}

Transient growth without inertia
Jovanović, M.R. and Kumar, S.
Phys. Fluids, February, 2010, Vol. 22 (2), pp. 023101 (19 pages)
[BibTeX] [PDF]

@article{jovkumPOF10,
  author = {M. R. Jovanović and S. Kumar},
  title = {Transient growth without inertia},
  journal = {Phys. Fluids},
  year = {2010},
  volume = {22},
  number = {2},
  pages = {023101 (19 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jovkumPOF10.pdf}
}

Transient response of velocity fluctuations in inertialess channel flows of viscoelastic fluids
Jovanović, M.R. and Kumar, S.
In Proceedings of the 2010 American Control Conference, 2010, pp. 5682-5687
[BibTeX]

@inproceedings{jovkumACC10,
  author = {M. R. Jovanović and S. Kumar},
  title = {Transient response of velocity fluctuations in inertialess channel flows of viscoelastic fluids},
  booktitle = {Proceedings of the 2010 American Control Conference},
  year = {2010},
  pages = {5682-5687},
  note = {(Invited paper)}
}

Variance amplification in channel flows of strongly elastic polymer solutions
Jovanović, M.R. and Kumar, S.
In Proceedings of the 2009 American Control Conference, 2009, pp. 842-847
[BibTeX]

@inproceedings{jovkumACC09,
  author = {M. R. Jovanović and S. Kumar},
  title = {Variance amplification in channel flows of strongly elastic polymer solutions},
  booktitle = {Proceedings of the 2009 American Control Conference},
  year = {2009},
  pages = {842-847},
  note = {(Invited paper)}
}

Sparse quadratic regulator
Jovanović, M.R. and Lin, F.
In Proceedings of the 12th European Control Conference, 2013, pp. 1047-1052
[BibTeX] [PDF]

@inproceedings{jovlinECC13,
  author = {M. R. Jovanović and F. Lin},
  title = {Sparse quadratic regulator},
  booktitle = {Proceedings of the 12th European Control Conference},
  year = {2013},
  pages = {1047-1052},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jovlinECC13.pdf}
}

Turbulence suppression in channel flows by means of a streamwise traveling wave
Jovanović, M.R., Moarref, R. and You, D.
In Proceedings of the 2006 Summer Program, 2006, pp. 481-494
[BibTeX]

@inproceedings{jovmoayouCTR06,
  author = {M. R. Jovanović and R. Moarref and D. You},
  title = {Turbulence suppression in channel flows by means of a streamwise traveling wave},
  booktitle = {Proceedings of the 2006 Summer Program},
  year = {2006},
  pages = {481-494}
}

Sparsity-promoting dynamic mode decomposition
Jovanović, M.R., Schmid, P.J. and Nichols, J.W.
Phys. Fluids, February, 2014, Vol. 26 (2), pp. 024103 (22 pages)
[BibTeX] [PDF]

@article{jovschnicPOF14,
  author = {M. R. Jovanović and P. J. Schmid and J. W. Nichols},
  title = {Sparsity-promoting dynamic mode decomposition},
  journal = {Phys. Fluids},
  year = {2014},
  volume = {26},
  number = {2},
  pages = {024103 (22 pages)},
  note = {(Editor's Pick)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/jovschnicPOF14.pdf}
}

Low-rank and sparse dynamic mode decomposition
Jovanović, M.R., Schmid, P.J. and Nichols, J.W.
In Center for Turbulence Research Annual Research Briefs, 2012, pp. 139-152
[BibTeX]

@inproceedings{jovschnicCTR12,
  author = {M. R. Jovanović and P. J. Schmid and J. W. Nichols},
  title = {Low-rank and sparse dynamic mode decomposition},
  booktitle = {Center for Turbulence Research Annual Research Briefs},
  year = {2012},
  pages = {139-152}
}

Practical tracking of a hydraulic cylinder and an axial piston hydraulic motor
Lazić, D.V., Jovanović, M.R. and Ristanović, M.R.
In Proceedings of Bath Workshop on Power Transmission and Motion Control, 1998, pp. 331-346
[BibTeX]

@inproceedings{lazjovris98,
  author = {D. V. Lazić and M. R. Jovanović and M. R. Ristanović},
  title = {Practical tracking of a hydraulic cylinder and an axial piston hydraulic motor},
  booktitle = {Proceedings of Bath Workshop on Power Transmission and Motion Control},
  year = {1998},
  pages = {331-346}
}

Dynamics and control of Newtonian and viscoelastic fluids
Lieu, B.K.
University of MinnesotaUniversity of Minnesota, 2014
[BibTeX] [PDF]

@phdthesis{binh-phd14,
  author = {B. K. Lieu},
  title = {Dynamics and control of Newtonian and viscoelastic fluids},
  institution = {University of Minnesota},
  school = {University of Minnesota},
  year = {2014},
  pdf = {/viterbi-web.usc.edu/~mihailo/theses/BinhLieu-PhD.pdf}
}

Computation of frequency responses for linear time-invariant PDEs on a compact interval
Lieu, B.K. and Jovanović, M.R.
J. Comput. Phys., October, 2013, Vol. 250, pp. 246-269
[BibTeX] [PDF]

@article{liejovJCP13,
  author = {B. K. Lieu and M. R. Jovanović},
  title = {Computation of frequency responses for linear time-invariant PDEs on a compact interval},
  journal = {J. Comput. Phys.},
  year = {2013},
  volume = {250},
  pages = {246-269},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/liejovJCP13.pdf}
}

Model-based analysis of polymer drag reduction in a turbulent channel flow
Lieu, B.K. and Jovanović, M.R.
In Proceedings of the 2013 American Control Conference, 2013, pp. 485-490
[BibTeX]

@inproceedings{liejovACC13,
  author = {B. K. Lieu and M. R. Jovanović},
  title = {Model-based analysis of polymer drag reduction in a turbulent channel flow},
  booktitle = {Proceedings of the 2013 American Control Conference},
  year = {2013},
  pages = {485-490},
  note = {(Invited paper)}
}

Analysis of drag reduction by polymers in a turbulent channel flow
Lieu, B.K. and Jovanović, M.R.
In Proceedings of the 2012 Summer Program, 2012, pp. 65-74
[BibTeX]

@inproceedings{liejovCTR12,
  author = {B. K. Lieu and M. R. Jovanović},
  title = {Analysis of drag reduction by polymers in a turbulent channel flow},
  booktitle = {Proceedings of the 2012 Summer Program},
  year = {2012},
  pages = {65-74}
}

Slow-fast decomposition of an inertialess flow of viscoelastic fluids
Lieu, B.K. and Jovanović, M.R.
In Proceedings of the 2012 American Control Conference, 2012, pp. 4369-4374
[BibTeX]

@inproceedings{liejovACC12,
  author = {B. K. Lieu and M. R. Jovanović},
  title = {Slow-fast decomposition of an inertialess flow of viscoelastic fluids},
  booktitle = {Proceedings of the 2012 American Control Conference},
  year = {2012},
  pages = {4369-4374}
}

Computation of the frequency responses for distributed systems with one spatial variable
Lieu, B.K. and Jovanović, M.R.
In Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011, pp. 6956-6961
[BibTeX]

@inproceedings{liejovCDC11,
  author = {B. K. Lieu and M. R. Jovanović},
  title = {Computation of the frequency responses for distributed systems with one spatial variable},
  booktitle = {Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference},
  year = {2011},
  pages = {6956-6961}
}

Worst-case amplification of disturbances in inertialess flows of viscoelastic fluids
Lieu, B.K., Jovanovic, M.R. and Kumar, S.
In Preprints of the 18th IFAC World Congress, 2011, pp. 14458-14463
[BibTeX]

@inproceedings{liejovkumIFAC11,
  author = {B. K. Lieu and M. R. Jovanovic and S. Kumar},
  title = {Worst-case amplification of disturbances in inertialess flows of viscoelastic fluids},
  booktitle = {Preprints of the 18th IFAC World Congress},
  year = {2011},
  pages = {14458-14463}
}

Worst-case amplification of disturbances in inertialess Couette flow of viscoelastic fluids
Lieu, B.K., Jovanović, M.R. and Kumar, S.
J. Fluid Mech., May, 2013, Vol. 723, pp. 232-263
[BibTeX] [PDF]

@article{liejovkumJFM13,
  author = {B. K. Lieu and M. R. Jovanović and S. Kumar},
  title = {Worst-case amplification of disturbances in inertialess Couette flow of viscoelastic fluids},
  journal = {J. Fluid Mech.},
  year = {2013},
  volume = {723},
  pages = {232-263},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/liejovkumJFM13.pdf}
}

Controlling the onset of turbulence by streamwise traveling waves. Part 2: Direct numerical simulations
Lieu, B.K., Moarref, R. and Jovanović, M.R.
J. Fluid Mech., November, 2010, Vol. 663, pp. 100-119
[BibTeX] [PDF]

@article{liemoajovJFM10,
  author = {B. K. Lieu and R. Moarref and M. R. Jovanović},
  title = {Controlling the onset of turbulence by streamwise traveling waves. Part 2: Direct numerical simulations},
  journal = {J. Fluid Mech.},
  year = {2010},
  volume = {663},
  pages = {100-119},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/liemoajovJFM10.pdf}
}

Preventing transition to turbulence using streamwise traveling waves: direct numerical simulations
Lieu, B.K., Moarref, R. and Jovanović, M.R.
In Proceedings of the 2010 American Control Conference, 2010, pp. 3335-3340
[BibTeX]

@inproceedings{liemoajovACC10,
  author = {B. K. Lieu and R. Moarref and M. R. Jovanović},
  title = {Preventing transition to turbulence using streamwise traveling waves: direct numerical simulations},
  booktitle = {Proceedings of the 2010 American Control Conference},
  year = {2010},
  pages = {3335-3340}
}

Structure identification and optimal design of large-scale networks of dynamical systems
Lin, F.
University of MinnesotaUniversity of Minnesota, 2012
[BibTeX] [PDF]

@phdthesis{fu-phd12,
  author = {F. Lin},
  title = {Structure identification and optimal design of large-scale networks of dynamical systems},
  institution = {University of Minnesota},
  school = {University of Minnesota},
  year = {2012},
  pdf = {/viterbi-web.usc.edu/~mihailo/theses/FuLin-PhD.pdf}
}

Algorithms for leader selection in stochastically forced consensus networks
Lin, F., Fardad, M. and Jovanović, M.R.
IEEE Trans. Automat. Control, July, 2014, Vol. 59 (7), pp. 1789-1802
[BibTeX] [PDF]

@article{linfarjovTAC14leaderselection,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Algorithms for leader selection in stochastically forced consensus networks},
  journal = {IEEE Trans. Automat. Control},
  year = {2014},
  volume = {59},
  number = {7},
  pages = {1789-1802},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/linfarjovTAC14LeaderSelection.pdf}
}

Design of optimal sparse feedback gains via the alternating direction method of multipliers
Lin, F., Fardad, M. and Jovanović, M.R.
IEEE Trans. Automat. Control, September, 2013, Vol. 58 (9), pp. 2426-2431
[BibTeX] [PDF]

@article{linfarjovTAC13admm,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Design of optimal sparse feedback gains via the alternating direction method of multipliers},
  journal = {IEEE Trans. Automat. Control},
  year = {2013},
  volume = {58},
  number = {9},
  pages = {2426-2431},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/linfarjovTAC13admm.pdf}
}

Identification of sparse communication graphs in consensus networks
Lin, F., Fardad, M. and Jovanović, M.R.
In Proceedings of the 50th Annual Allerton Conference on Communication, Control, and Computing, 2012, pp. 85-89
[BibTeX]

@inproceedings{linfarjovALL12,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Identification of sparse communication graphs in consensus networks},
  booktitle = {Proceedings of the 50th Annual Allerton Conference on Communication, Control, and Computing},
  year = {2012},
  pages = {85-89},
  note = {(Invited paper)}
}

Optimal control of vehicular formations with nearest neighbor interactions
Lin, F., Fardad, M. and Jovanović, M.R.
IEEE Trans. Automat. Control, September, 2012, Vol. 57 (9), pp. 2203-2218
[BibTeX] [PDF]

@article{linfarjovTAC12platoons,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Optimal control of vehicular formations with nearest neighbor interactions},
  journal = {IEEE Trans. Automat. Control},
  year = {2012},
  volume = {57},
  number = {9},
  pages = {2203-2218},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/linfarjovTAC12platoons.pdf}
}

Performance of leader-follower networks in directed trees and lattices
Lin, F., Fardad, M. and Jovanović, M.R.
In Proceedings of the 51th IEEE Conference on Decision and Control, 2012, pp. 734-739
[BibTeX] [PDF]

@inproceedings{linfarjovCDC12,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Performance of leader-follower networks in directed trees and lattices},
  booktitle = {Proceedings of the 51th IEEE Conference on Decision and Control},
  year = {2012},
  pages = {734-739},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/conference/2012/LinFardadJovanovicCDC2012.pdf}
}

Sparse feedback synthesis via the alternating direction method of multipliers
Lin, F., Fardad, M. and Jovanović, M.R.
In Proceedings of the 2012 American Control Conference, 2012, pp. 4765-4770
[BibTeX]

@inproceedings{linfarjovACC12,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Sparse feedback synthesis via the alternating direction method of multipliers},
  booktitle = {Proceedings of the 2012 American Control Conference},
  year = {2012},
  pages = {4765-4770}
}

Algorithms for leader selection in large dynamical networks: noise-corrupted leaders
Lin, F., Fardad, M. and Jovanović, M.R.
In Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011, pp. 2932-2937
[BibTeX] [PDF]

@inproceedings{linfarjovCDC11,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Algorithms for leader selection in large dynamical networks: noise-corrupted leaders},
  booktitle = {Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference},
  year = {2011},
  pages = {2932-2937},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/linfarjovCDC11.pdf}
}

Augmented Lagrangian approach to design of structured optimal state feedback gains
Lin, F., Fardad, M. and Jovanović, M.R.
IEEE Trans. Automat. Control, December, 2011, Vol. 56 (12), pp. 2923-2929
[BibTeX] [PDF]

@article{linfarjovTAC11al,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Augmented Lagrangian approach to design of structured optimal state feedback gains},
  journal = {IEEE Trans. Automat. Control},
  year = {2011},
  volume = {56},
  number = {12},
  pages = {2923-2929},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/linfarjovTAC11auglag.pdf}
}

On the optimal localized feedback design for multi-vehicle systems
Lin, F., Fardad, M. and Jovanović, M.R.
In Proceedings of the 49th IEEE Conference on Decision and Control, 2010, pp. 5744-5749
[BibTeX]

@inproceedings{linfarjovCDC10,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {On the optimal localized feedback design for multi-vehicle systems},
  booktitle = {Proceedings of the 49th IEEE Conference on Decision and Control},
  year = {2010},
  pages = {5744-5749}
}

On the optimal localized feedback design for vehicular platoons
Lin, F., Fardad, M. and Jovanović, M.R.
In Proceedings of the 2010 American Control Conference, 2010, pp. 4622-4627
[BibTeX]

@inproceedings{linfarjovACC10,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {On the optimal localized feedback design for vehicular platoons},
  booktitle = {Proceedings of the 2010 American Control Conference},
  year = {2010},
  pages = {4622-4627}
}

Synthesis of H_2 optimal static structured controllers: primal and dual formulations
Lin, F., Fardad, M. and Jovanović, M.R.
In Proceedings of the 47th Annual Allerton Conference on Communication, Control, and Computing, 2009, pp. 340-346
[BibTeX]

@inproceedings{linfarjovALL09,
  author = {F. Lin and M. Fardad and M. R. Jovanović},
  title = {Synthesis of H_2 optimal static structured controllers: primal and dual formulations},
  booktitle = {Proceedings of the 47th Annual Allerton Conference on Communication, Control, and Computing},
  year = {2009},
  pages = {340-346},
  note = {(Invited paper)}
}

Least-squares approximation of structured covariances
Lin, F. and Jovanović, M.R.
IEEE Trans. Automat. Control, July, 2009, Vol. 54 (7), pp. 1643-1648
[BibTeX] [PDF]

@article{linjovTAC09,
  author = {F. Lin and M. R. Jovanović},
  title = {Least-squares approximation of structured covariances},
  journal = {IEEE Trans. Automat. Control},
  year = {2009},
  volume = {54},
  number = {7},
  pages = {1643-1648},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/linjovTAC09.pdf}
}

Energy amplification in a parallel Blasius boundary layer flow subject to free-stream turbulence
Lin, F. and Jovanović, M.R.
In Proceedings of the 2008 American Control Conference, 2008, pp. 3070-3075
[BibTeX]

@inproceedings{linjovACC08,
  author = {F. Lin and M. R. Jovanović},
  title = {Energy amplification in a parallel Blasius boundary layer flow subject to free-stream turbulence},
  booktitle = {Proceedings of the 2008 American Control Conference},
  year = {2008},
  pages = {3070-3075}
}

On the least-squares approximation of structured covariances
Lin, F. and Jovanović, M.R.
In Proceedings of the 2007 American Control Conference, 2007, pp. 2648-2653
[BibTeX]

@inproceedings{linjovACC07,
  author = {F. Lin and M. R. Jovanović},
  title = {On the least-squares approximation of structured covariances},
  booktitle = {Proceedings of the 2007 American Control Conference},
  year = {2007},
  pages = {2648-2653}
}

An ADMM algorithm for matrix completion of partially known state covariances
Lin, F., Jovanović, M.R. and Georgiou, T.T.
In Proceedings of the 52nd IEEE Conference on Decision and Control, 2013, pp. 1684-1689
[BibTeX]

@inproceedings{linjovgeoCDC13,
  author = {F. Lin and M. R. Jovanović and T. T. Georgiou},
  title = {An ADMM algorithm for matrix completion of partially known state covariances},
  booktitle = {Proceedings of the 52nd IEEE Conference on Decision and Control},
  year = {2013},
  pages = {1684-1689}
}

Model-based control of transitional and turbulent wall-bounded shear flows
Moarref, R.
University of MinnesotaUniversity of Minnesota, 2012
[BibTeX] [PDF]

@phdthesis{rashad-phd12,
  author = {R. Moarref},
  title = {Model-based control of transitional and turbulent wall-bounded shear flows},
  institution = {University of Minnesota},
  school = {University of Minnesota},
  year = {2012},
  pdf = {/viterbi-web.usc.edu/~mihailo/theses/RashadMoarref-PhD.pdf}
}

Perturbation analysis of eigenvalues of a class of self-adjoint operators
Moarref, R., Fardad, M. and Jovanović, M.R.
In Proceedings of the 2008 American Control Conference, 2008, pp. 955-960
[BibTeX]

@inproceedings{moafarjovACC08,
  author = {R. Moarref and M. Fardad and M. R. Jovanović},
  title = {Perturbation analysis of eigenvalues of a class of self-adjoint operators},
  booktitle = {Proceedings of the 2008 American Control Conference},
  year = {2008},
  pages = {955-960},
  note = {(Invited paper)}
}

Model-based design of transverse wall oscillations for turbulent drag reduction
Moarref, R. and Jovanović, M.R.
J. Fluid Mech., September, 2012, Vol. 707, pp. 205-240
[BibTeX] [PDF]

@article{moajovJFM12,
  author = {R. Moarref and M. R. Jovanović},
  title = {Model-based design of transverse wall oscillations for turbulent drag reduction},
  journal = {J. Fluid Mech.},
  year = {2012},
  volume = {707},
  pages = {205-240},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/moajovJFM12.pdf}
}

Turbulent drag reduction by transverse wall oscillations
Moarref, R. and Jovanović, M.R.
In Proceedings of the 2012 American Control Conference, 2012, pp. 3359-3364
[BibTeX]

@inproceedings{moajovACC12,
  author = {R. Moarref and M. R. Jovanović},
  title = {Turbulent drag reduction by transverse wall oscillations},
  booktitle = {Proceedings of the 2012 American Control Conference},
  year = {2012},
  pages = {3359-3364}
}

Controlling the onset of turbulence by streamwise traveling waves. Part 1: Receptivity analysis
Moarref, R. and Jovanović, M.R.
J. Fluid Mech., November, 2010, Vol. 663, pp. 70-99
[BibTeX] [PDF]

@article{moajovJFM10,
  author = {R. Moarref and M. R. Jovanović},
  title = {Controlling the onset of turbulence by streamwise traveling waves. Part 1: Receptivity analysis},
  journal = {J. Fluid Mech.},
  year = {2010},
  volume = {663},
  pages = {70-99},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/moajovJFM10.pdf}
}

Preventing transition to turbulence using streamwise traveling waves: theoretical analysis
Moarref, R. and Jovanović, M.R.
In Proceedings of the 2010 American Control Conference, 2010, pp. 3329-3334
[BibTeX]

@inproceedings{moajovACC10,
  author = {R. Moarref and M. R. Jovanović},
  title = {Preventing transition to turbulence using streamwise traveling waves: theoretical analysis},
  booktitle = {Proceedings of the 2010 American Control Conference},
  year = {2010},
  pages = {3329-3334}
}

Remarks on computing the H_2 norm of incompressible fluids using descriptor state-space formulation
Moarref, R. and Jovanović, M.R.
In Proceedings of the 2008 American Control Conference, 2008, pp. 3064-3069
[BibTeX]

@inproceedings{moajovACC08,
  author = {R. Moarref and M. R. Jovanović},
  title = {Remarks on computing the H_2 norm of incompressible fluids using descriptor state-space formulation},
  booktitle = {Proceedings of the 2008 American Control Conference},
  year = {2008},
  pages = {3064-3069}
}

On using the streamwise traveling waves for variance suppression in channel flows
Moarref, R. and Jovanović, M.R.
In Proceedings of the 2007 American Control Conference, 2007, pp. 2060-2065
[BibTeX]

@inproceedings{moajovACC07,
  author = {R. Moarref and M. R. Jovanović},
  title = {On using the streamwise traveling waves for variance suppression in channel flows},
  booktitle = {Proceedings of the 2007 American Control Conference},
  year = {2007},
  pages = {2060-2065},
  note = {(Invited paper; Finalist, Best Student Paper Award)}
}

Transition control using an array of streamwise vortices
Moarref, R. and Jovanović, M.R.
In Proceedings of the 45th IEEE Conference on Decision and Control, 2006, pp. 107-112
[BibTeX]

@inproceedings{moajovCDC06,
  author = {R. Moarref and M. R. Jovanović},
  title = {Transition control using an array of streamwise vortices},
  booktitle = {Proceedings of the 45th IEEE Conference on Decision and Control},
  year = {2006},
  pages = {107-112},
  note = {(Invited paper)}
}

A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization
Moarref, R., Jovanović, M.R., Tropp, J.A., Sharma, A.S. and McKeon, B.J.
Phys. Fluids, May, 2014, Vol. 26 (5), pp. 051701 (7 pages)
[BibTeX] [PDF]

@article{moajovtroshamckPOF14,
  author = {R. Moarref and M. R. Jovanović and J. A. Tropp and A. S. Sharma and B. J. McKeon},
  title = {A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization},
  journal = {Phys. Fluids},
  year = {2014},
  volume = {26},
  number = {5},
  pages = {051701 (7 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/moajovtroshamckPOF14.pdf}
}

Spatially-localized optimal control of transition to turbulence
Moarref, R., Lieu, B.K. and Jovanović, M.R.
In Proceedings of the 2011 American Control Conference, 2011, pp. 3577-3582
[BibTeX]

@inproceedings{moaliejovACC11,
  author = {R. Moarref and B. K. Lieu and M. R. Jovanović},
  title = {Spatially-localized optimal control of transition to turbulence},
  booktitle = {Proceedings of the 2011 American Control Conference},
  year = {2011},
  pages = {3577-3582}
}

Optimal localized control of transitional channel flow
Moarref, R., Lieu, B.K. and Jovanović, M.R.
In Proceedings of the 2010 Summer Program, 2010, pp. 107-118
[BibTeX]

@inproceedings{moaliejovCTR10,
  author = {R. Moarref and B. K. Lieu and M. R. Jovanović},
  title = {Optimal localized control of transitional channel flow},
  booktitle = {Proceedings of the 2010 Summer Program},
  year = {2010},
  pages = {107-118}
}

Performance of noisy Nesterov's accelerated method for strongly convex optimization problems
Mohammadi, H., Razaviyayn, M. and Jovanović, M.R.
In Proceedings of the 2019 American Control Conference, 2019, pp. 3426-3431
[BibTeX] [PDF]

@inproceedings{mohrazjovACC19,
  author = {H. Mohammadi and M. Razaviyayn and M. R. Jovanović},
  title = {Performance of noisy Nesterov's accelerated method for strongly convex optimization problems},
  booktitle = {Proceedings of the 2019 American Control Conference},
  year = {2019},
  pages = {3426-3431},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mohrazjovACC19.pdf}
}

Robustness of accelerated first-order algorithms for strongly convex optimization problems
Mohammadi, H., Razaviyayn, M. and Jovanović, M.R.
IEEE Trans. Automat. Control, 2019
[BibTeX] [PDF]

@article{mohrazjovTAC19,
  author = {H. Mohammadi and M. Razaviyayn and M. R. Jovanović},
  title = {Robustness of accelerated first-order algorithms for strongly convex optimization problems},
  journal = {IEEE Trans. Automat. Control},
  year = {2019},
  note = {conditionally accepted; also arXiv:1905.11011},
  pdf = {/arxiv.org/abs/1905.11011}
}

On the stability of gradient flow dynamics for a rank-one matrix approximation problem
Mohammadi, H., Razaviyayn, M. and Jovanović, M.R.
In Proceedings of the 2018 American Control Conference, 2018, pp. 4533-4538
[BibTeX] [PDF]

@inproceedings{mohrazjovACC18,
  author = {H. Mohammadi and M. Razaviyayn and M. R. Jovanović},
  title = {On the stability of gradient flow dynamics for a rank-one matrix approximation problem},
  booktitle = {Proceedings of the 2018 American Control Conference},
  year = {2018},
  pages = {4533-4538},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mohrazjovACC18.pdf}
}

Variance amplification of accelerated first-order algorithms for strongly convex quadratic optimization problems
Mohammadi, H., Razaviyayn, M. and Jovanović, M.R.
In Proceedings of the 57th IEEE Conference on Decision and Control, 2018, pp. 5753-5758
[BibTeX] [PDF]

@inproceedings{mohrazjovCDC18,
  author = {H. Mohammadi and M. Razaviyayn and M. R. Jovanović},
  title = {Variance amplification of accelerated first-order algorithms for strongly convex quadratic optimization problems},
  booktitle = {Proceedings of the 57th IEEE Conference on Decision and Control},
  year = {2018},
  pages = {5753-5758},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mohrazjovCDC18.pdf}
}

Learning the model-free linear quadratic regulator via random search
Mohammadi, H., Soltanolkotabi, M. and Jovanović, M.R.
In Proceedings of the 2nd Learning for Dynamics and Control Conference, 2020
[BibTeX]

@inproceedings{mohsoljovL4DC20,
  author = {H. Mohammadi and M. Soltanolkotabi and M. R. Jovanović},
  title = {Learning the model-free linear quadratic regulator via random search},
  booktitle = {Proceedings of the 2nd Learning for Dynamics and Control Conference},
  year = {2020},
  note = {to appear}
}

Random search for learning the linear quadratic regulator
Mohammadi, H., Soltanolkotabi, M. and Jovanović, M.R.
In Proceedings of the 2020 American Control Conference, 2020
[BibTeX]

@inproceedings{mohsoljovACC20,
  author = {H. Mohammadi and M. Soltanolkotabi and M. R. Jovanović},
  title = {Random search for learning the linear quadratic regulator},
  booktitle = {Proceedings of the 2020 American Control Conference},
  year = {2020},
  note = {to appear}
}

Convergence and sample complexity of gradient methods for the model-free linear quadratic regulator problem
Mohammadi, H., Zare, A., Soltanolkotabi, M. and Jovanović, M.R.
IEEE Trans. Automat. Control, 2019
[BibTeX] [PDF]

@article{mohzarsoljovTAC19,
  author = {H. Mohammadi and A. Zare and M. Soltanolkotabi and M. R. Jovanović},
  title = {Convergence and sample complexity of gradient methods for the model-free linear quadratic regulator problem},
  journal = {IEEE Trans. Automat. Control},
  year = {2019},
  note = {submitted; also arXiv:1912.11899},
  pdf = {/arxiv.org/abs/1912.11899}
}

Global exponential convergence of gradient methods over the nonconvex landscape of the linear quadratic regulator
Mohammadi, H., Zare, A., Soltanolkotabi, M. and Jovanović, M.R.
In Proceedings of the 58th IEEE Conference on Decision and Control, 2019, pp. 7474-7479
[BibTeX] [PDF]

@inproceedings{mohzarsoljovCDC19,
  author = {H. Mohammadi and A. Zare and M. Soltanolkotabi and M. R. Jovanović},
  title = {Global exponential convergence of gradient methods over the nonconvex landscape of the linear quadratic regulator},
  booktitle = {Proceedings of the 58th IEEE Conference on Decision and Control},
  year = {2019},
  pages = {7474-7479},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/mohzarsoljovCDC19.pdf}
}

Input-output analysis of high-speed jet noise
Nichols, J.W. and Jovanović, M.R.
In Proceedings of the 2014 Summer Program, 2014, pp. 251-260
[BibTeX] [PDF]

@inproceedings{nicjovCTR14,
  author = {J. W. Nichols and M. R. Jovanović},
  title = {Input-output analysis of high-speed jet noise},
  booktitle = {Proceedings of the 2014 Summer Program},
  year = {2014},
  pages = {251-260},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/nicjovCTR14.pdf}
}

On the feasibility of large-scale automated highways
Patterson, S., Bamieh, B., Abbadi, A.E. and Jovanović, M.R.
In First International Workshop on Computational Transportation Science, 2008
[BibTeX]

@inproceedings{patbamabbjov08,
  author = {S. Patterson and B. Bamieh and A. E. Abbadi and M. R. Jovanović},
  title = {On the feasibility of large-scale automated highways},
  booktitle = {First International Workshop on Computational Transportation Science},
  year = {2008},
  note = {(Invited paper)}
}

Design of optimal coupling gains for synchronization of nonlinear oscillators
Purba, V., Wu, X., Sinha, M., Dhople, S.V. and Jovanović, M.R.
In Proceedings of the 54th IEEE Conference on Decision and Control, 2015, pp. 1310-1315
[BibTeX] [PDF]

@inproceedings{purwusindhojovCDC15,
  author = {V. Purba and X. Wu and M. Sinha and S. V. Dhople and M. R. Jovanović},
  title = {Design of optimal coupling gains for synchronization of nonlinear oscillators},
  booktitle = {Proceedings of the 54th IEEE Conference on Decision and Control},
  year = {2015},
  pages = {1310-1315},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/purwusindhojovCDC15.pdf}
}

Boundary layer receptivity analysis via the algebraic Lyapunov equation
Ran, W., Zare, A., Hack, M.J.P. and Jovanović, M.R.
In Proceedings of the 2020 AIAA SciTech Forum and Exposition, 2020, pp. 0109 (15 pages)
[BibTeX] [PDF]

@inproceedings{ranzarhacjovAIAA20,
  author = {W. Ran and A. Zare and M. J. P. Hack and M. R. Jovanović},
  title = {Boundary layer receptivity analysis via the algebraic Lyapunov equation},
  booktitle = {Proceedings of the 2020 AIAA SciTech Forum and Exposition},
  year = {2020},
  pages = {0109 (15 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarhacjovAIAA20.pdf}
}

Modeling mode interactions in boundary layer flows via Parabolized Floquet Equations
Ran, W., Zare, A., Hack, M.J.P. and Jovanović, M.R.
Phys. Rev. Fluids, February, 2019, Vol. 4 (2), pp. 023901 (22 pages)
[BibTeX] [PDF]

@article{ranzarhacjovPRF19a,
  author = {W. Ran and A. Zare and M. J. P. Hack and M. R. Jovanović},
  title = {Modeling mode interactions in boundary layer flows via Parabolized Floquet Equations},
  journal = {Phys. Rev. Fluids},
  year = {2019},
  volume = {4},
  number = {2},
  pages = {023901 (22 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarhacjovPRF19.pdf}
}

Relating global and local stochastic receptivity analysis of boundary layer flows
Ran, W., Zare, A., Hack, M.J.P. and Jovanović, M.R.
In Proceedings of the 2019 American Control Conference, 2019, pp. 3212-3217
[BibTeX] [PDF]

@inproceedings{ranzarhacjovACC19,
  author = {W. Ran and A. Zare and M. J. P. Hack and M. R. Jovanović},
  title = {Relating global and local stochastic receptivity analysis of boundary layer flows},
  booktitle = {Proceedings of the 2019 American Control Conference},
  year = {2019},
  pages = {3212-3217},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarhacjovACC19.pdf}
}

Stochastic receptivity analysis of boundary layer flow
Ran, W., Zare, A., Hack, M.J.P. and Jovanović, M.R.
Phys. Rev. Fluids, September, 2019, Vol. 4 (9), pp. 093901 (28 pages)
[BibTeX] [PDF]

@article{ranzarhacjovPRF19b,
  author = {W. Ran and A. Zare and M. J. P. Hack and M. R. Jovanović},
  title = {Stochastic receptivity analysis of boundary layer flow},
  journal = {Phys. Rev. Fluids},
  year = {2019},
  volume = {4},
  number = {9},
  pages = {093901 (28 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarhacjovPRF19b.pdf}
}

Low-complexity modeling of mode interactions in boundary layer flows
Ran, W., Zare, A., Hack, M.J.P. and Jovanović, M.R.
In Proceedings of the 2018 American Control Conference, 2018, pp. 134-139
[BibTeX] [PDF]

@inproceedings{ranzarhacjovACC18,
  author = {W. Ran and A. Zare and M. J. P. Hack and M. R. Jovanović},
  title = {Low-complexity modeling of mode interactions in boundary layer flows},
  booktitle = {Proceedings of the 2018 American Control Conference},
  year = {2018},
  pages = {134-139},
  note = {(Invited paper)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarhacjovACC18.pdf}
}

Low-complexity stochastic modeling of spatially-evolving flows
Ran, W., Zare, A., Hack, M.J.P. and Jovanović, M.R.
In Proceedings of the 2017 American Control Conference, 2017, pp. 3815-3820
[BibTeX] [PDF]

@inproceedings{ranzarhacjovACC17,
  author = {W. Ran and A. Zare and M. J. P. Hack and M. R. Jovanović},
  title = {Low-complexity stochastic modeling of spatially-evolving flows},
  booktitle = {Proceedings of the 2017 American Control Conference},
  year = {2017},
  pages = {3815-3820},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarhacjovACC17.pdf}
}

Low-complexity stochastic modeling of spatially-evolving flows
Ran, W., Zare, A., Hack, M.J.P. and Jovanović, M.R.
In Proceedings of the 2016 Summer Program, 2016, pp. 285-294
[BibTeX] [PDF]

@inproceedings{ranzarhacjovCTR16,
  author = {W. Ran and A. Zare and M. J. P. Hack and M. R. Jovanović},
  title = {Low-complexity stochastic modeling of spatially-evolving flows},
  booktitle = {Proceedings of the 2016 Summer Program},
  year = {2016},
  pages = {285-294},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarhacjovCTR16.pdf}
}

Frequency-response analysis of riblets for turbulent drag reduction
Ran, W., Zare, A. and Jovanović, M.R.
In Proceedings of the 24th International Symposium on Mathematical Theory of Network and Systems, 2020
[BibTeX]

@inproceedings{ranzarjovMTNS20,
  author = {W. Ran and A. Zare and M. R. Jovanović },
  title = {Frequency-response analysis of riblets for turbulent drag reduction},
  booktitle = {Proceedings of the 24th International Symposium on Mathematical Theory of Network and Systems},
  year = {2020},
  note = {submitted}
}

Model-based design of riblets for turbulent drag reduction
Ran, W., Zare, A. and Jovanović, M.R.
J. Fluid Mech., 2020
[BibTeX] [PDF]

@article{ranzarjovJFM20,
  author = {W. Ran and A. Zare and M. R. Jovanović},
  title = {Model-based design of riblets for turbulent drag reduction},
  journal = {J. Fluid Mech.},
  year = {2020},
  note = {submitted; also arXiv:2002.01671},
  pdf = {/arxiv.org/abs/2002.01671}
}

Drag reduction in turbulent channel flow over spatially periodic surfaces
Ran, W., Zare, A. and Jovanović, M.R.
In Proceedings of the 58th IEEE Conference on Decision and Control, 2019, pp. 5918-5923
[BibTeX] [PDF]

@inproceedings{ranzarjovCDC19,
  author = {W. Ran and A. Zare and M. R. Jovanović},
  title = {Drag reduction in turbulent channel flow over spatially periodic surfaces},
  booktitle = {Proceedings of the 58th IEEE Conference on Decision and Control},
  year = {2019},
  pages = {5918-5923},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarjovCDC19.pdf}
}

The effect of sponge layers on global stability analysis of Blasius boundary layer flow
Ran, W., Zare, A., Nichols, J.W. and Jovanović, M.R.
In Proceedings of the 47th AIAA Fluid Dynamics Conference, 2017, pp. 3456 (12 pages)
[BibTeX] [PDF]

@inproceedings{ranzarnicjovAIAA17,
  author = {W. Ran and A. Zare and J. W. Nichols and M. R. Jovanović},
  title = {The effect of sponge layers on global stability analysis of Blasius boundary layer flow},
  booktitle = {Proceedings of the 47th AIAA Fluid Dynamics Conference},
  year = {2017},
  pages = {3456 (12 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/ranzarnicjovAIAA17.pdf}
}

Application of practical straight-line tracking in the process industry
Ribar, Z.B., Jovanović, M.R. and Jovanović, R.Z.
In Proceedings of the 41th ETRAN Conference, June, 1997, Vol. 1, pp. 444-447
[BibTeX]

@inproceedings{ribjovjov97,
  author = {Z. B. Ribar and M. R. Jovanović and R. Z. Jovanović},
  title = {Application of practical straight-line tracking in the process industry},
  booktitle = {Proceedings of the 41th ETRAN Conference},
  year = {1997},
  volume = {1},
  pages = {444-447}
}

Application of practical exponential tracking in fluid transportation industry
Ribar, Z.B., Lazić, D.V. and Jovanović, M.R.
In Proceedings of the 14th International Conference on Material Handling and Warehousing, December, 1996, pp. 5.65-5.70
[BibTeX]

@inproceedings{riblazjov96,
  author = {Z. B. Ribar and D. V. Lazić and M. R. Jovanović},
  title = {Application of practical exponential tracking in fluid transportation industry},
  booktitle = {Proceedings of the 14th International Conference on Material Handling and Warehousing},
  year = {1996},
  pages = {5.65-5.70}
}

Transient growth of accelerated first-order methods
Samuelson, S., Mohammadi, H. and Jovanović, M.R.
In Proceedings of the 2020 American Control Conference, 2020
[BibTeX]

@inproceedings{sammohjovACC20,
  author = {S. Samuelson and H. Mohammadi and M. R. Jovanović},
  title = {Transient growth of accelerated first-order methods},
  booktitle = {Proceedings of the 2020 American Control Conference},
  year = {2020},
  note = {to appear}
}

Dynamic mode decomposition of H-type transition to turbulence
Sayadi, T., Nichols, J.W., Schmid, P.J. and Jovanović, M.R.
In Proceedings of the 2012 Summer Program, 2012, pp. 5-14
[BibTeX]

@inproceedings{saynicschjovCTR12,
  author = {T. Sayadi and J. W. Nichols and P. J. Schmid and M. R. Jovanović},
  title = {Dynamic mode decomposition of H-type transition to turbulence},
  booktitle = {Proceedings of the 2012 Summer Program},
  year = {2012},
  pages = {5-14}
}

Interaction of an oblique shock with a transitional Mach 5.65 boundary layer
Sfhrestha, P., Dwivedi, A., Hildebrand, N., Nichols, J.W., Jovanović, M.R. and Candler, G.V.
In Proceedings of the 46th AIAA Fluid Dynamics Conference, 2016, pp. 3647 (14 pages)
[BibTeX] [PDF]

@inproceedings{shrdwihilnicjovcanAIAA16,
  author = {P. Sfhrestha and A. Dwivedi and N. Hildebrand and J. W. Nichols and M. R. Jovanović and G. V. Candler},
  title = {Interaction of an oblique shock with a transitional Mach 5.65 boundary layer},
  booktitle = {Proceedings of the 46th AIAA Fluid Dynamics Conference},
  year = {2016},
  pages = {3647 (14 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/shrdwihilnicjovcanAIAA16.pdf}
}

Synchronization of limit cycle oscillations in diffusively-coupled systems
Shafi, S.Y., Arcak, M. and Jovanović, M.R.
In Proceedings of the 2013 American Control Conference, 2013, pp. 4874-4879
[BibTeX]

@inproceedings{shaarcjovACC13,
  author = {S. Y. Shafi and M. Arcak and M. R. Jovanović},
  title = {Synchronization of limit cycle oscillations in diffusively-coupled systems},
  booktitle = {Proceedings of the 2013 American Control Conference},
  year = {2013},
  pages = {4874-4879}
}

Synchronization of diffusively-coupled limit cycle oscillators
Shafi, S.Y., Arcak, M., Jovanović, M.R. and Packard, A.
Automatica, December, 2013, Vol. 49 (12), pp. 3613-3622
[BibTeX] [PDF]

@article{shaarcjovpacAUT13,
  author = {S. Y. Shafi and M. Arcak and M. R. Jovanović and A. Packard},
  title = {Synchronization of diffusively-coupled limit cycle oscillators},
  journal = {Automatica},
  year = {2013},
  volume = {49},
  number = {12},
  pages = {3613-3622},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/shaarcjovpacAUT13.pdf}
}

Study of trip-induced hypersonic boundary layer transition
Shrestha, P., Nichols, J.W., Jovanović, M.R. and Candler, G.V.
In Proceedings of the 47th AIAA Fluid Dynamics Conference, 2017, pp. 4513 (21 pages)
[BibTeX] [PDF]

@inproceedings{shrnicjovcanAIAA17,
  author = {P. Shrestha and J. W. Nichols and M. R. Jovanović and G. V. Candler},
  title = {Study of trip-induced hypersonic boundary layer transition},
  booktitle = {Proceedings of the 47th AIAA Fluid Dynamics Conference},
  year = {2017},
  pages = {4513 (21 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/shrnicjovcanAIAA17.pdf}
}

Self-sustaining turbulence in a restricted nonlinear model of plane Couette flow
Thomas, V.L., Lieu, B.K., Jovanović, M.R., Farrell, B.F., Ioannou, P.J. and Gayme, D.F.
Phys. Fluids, October, 2014, Vol. 26 (10), pp. 105112 (17 pages)
[BibTeX] [PDF]

@article{tholiejovfarioagayPOF14,
  author = {V. L. Thomas and B. K. Lieu and M. R. Jovanović and B. F. Farrell and P. J. Ioannou and D. F. Gayme},
  title = {Self-sustaining turbulence in a restricted nonlinear model of plane Couette flow},
  journal = {Phys. Fluids},
  year = {2014},
  volume = {26},
  number = {10},
  pages = {105112 (17 pages)},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/tholiejovfarioagayPOF14.pdf}
}

Sparsity-promoting optimal control of power networks
Wu, X.
University of MinnesotaUniversity of Minnesota, 2016
[BibTeX] [PDF]

@phdthesis{xiaofan-phd16,
  author = {X. Wu},
  title = {Sparsity-promoting optimal control of power networks},
  institution = {University of Minnesota},
  school = {University of Minnesota},
  year = {2016},
  pdf = {/viterbi-web.usc.edu/~mihailo/theses/XiaofanWu-PhD.pdf}
}

Input-output analysis and decentralized optimal control of inter-area oscillations in power systems
Wu, X., Dörfler, F. and Jovanović, M.R.
IEEE Trans. Power Syst., May, 2016, Vol. 31 (3), pp. 2434-2444
[BibTeX] [PDF]

@article{wudorjovTPS16,
  author = {X. Wu and F. Dörfler and M. R. Jovanović},
  title = {Input-output analysis and decentralized optimal control of inter-area oscillations in power systems},
  journal = {IEEE Trans. Power Syst.},
  year = {2016},
  volume = {31},
  number = {3},
  pages = {2434-2444},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/wudorjovTPS16.pdf}
}

Topology identification and design of distributed integral action in power networks
Wu, X., Dörfler, F. and Jovanović, M.R.
In Proceedings of the 2016 American Control Conference, 2016, pp. 5921-5926
[BibTeX] [PDF]

@inproceedings{wudorjovACC16,
  author = {X. Wu and F. Dörfler and M. R. Jovanović},
  title = {Topology identification and design of distributed integral action in power networks},
  booktitle = {Proceedings of the 2016 American Control Conference},
  year = {2016},
  pages = {5921-5926},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/wudorjovACC16.pdf}
}

Decentralized optimal control of inter-area oscillations in bulk power systems
Wu, X., Dörfler, F. and Jovanović, M.R.
In Proceedings of the 54th IEEE Conference on Decision and Control, 2015, pp. 5532-5537
[BibTeX] [PDF]

@inproceedings{wudorjovCDC15,
  author = {X. Wu and F. Dörfler and M. R. Jovanović},
  title = {Decentralized optimal control of inter-area oscillations in bulk power systems},
  booktitle = {Proceedings of the 54th IEEE Conference on Decision and Control},
  year = {2015},
  pages = {5532-5537},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/wudorjovCDC15.pdf}
}

Analysis and design trade-offs for power network inter-area oscillations
Wu, X., Dörfler, F. and Jovanović, M.R.
In Proceedings of the 21st International Symposium on Mathematical Theory of Network and Systems, 2014, pp. 657-663
[BibTeX]

@inproceedings{wudorjovMTNS14,
  author = {X. Wu and F. Dörfler and M. R. Jovanović},
  title = {Analysis and design trade-offs for power network inter-area oscillations},
  booktitle = {Proceedings of the 21st International Symposium on Mathematical Theory of Network and Systems},
  year = {2014},
  pages = {657-663},
  note = {(Invited paper)}
}

Sparsity-promoting optimal control of systems with symmetries, consensus and synchronization networks
Wu, X. and Jovanović, M.R.
Syst. Control Lett., May, 2017, Vol. 103, pp. 1-8
[BibTeX] [PDF]

@article{wujovSCL17,
  author = {X. Wu and M. R. Jovanović},
  title = {Sparsity-promoting optimal control of systems with symmetries, consensus and synchronization networks},
  journal = {Syst. Control Lett.},
  year = {2017},
  volume = {103},
  pages = {1-8},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/wujovSCL17.pdf}
}

Sparsity-promoting optimal control of consensus and synchronization networks
Wu, X. and Jovanović, M.R.
In Proceedings of the 2014 American Control Conference, 2014, pp. 2948-2953
[BibTeX]

@inproceedings{wujovACC14,
  author = {X. Wu and M. R. Jovanović},
  title = {Sparsity-promoting optimal control of consensus and synchronization networks},
  booktitle = {Proceedings of the 2014 American Control Conference},
  year = {2014},
  pages = {2948-2953}
}

Low-complexity stochastic modeling of wall-bounded shear flows
Zare, A.
University of MinnesotaUniversity of Minnesota, 2016
[BibTeX] [PDF]

@phdthesis{armin-phd16,
  author = {A. Zare},
  title = {Low-complexity stochastic modeling of wall-bounded shear flows},
  institution = {University of Minnesota},
  school = {University of Minnesota},
  year = {2016},
  pdf = {/viterbi-web.usc.edu/~mihailo/theses/ArminZare-PhD.pdf}
}

Low-complexity modeling of partially available second-order statistics: theory and an efficient matrix completion algorithm
Zare, A., Chen, Y., Jovanović, M.R. and Georgiou, T.T.
IEEE Trans. Automat. Control, March, 2017, Vol. 62 (3), pp. 1368-1383
[BibTeX] [PDF]

@article{zarchejovgeoTAC17,
  author = {A. Zare and Y. Chen and M. R. Jovanović and T. T. Georgiou},
  title = {Low-complexity modeling of partially available second-order statistics: theory and an efficient matrix completion algorithm},
  journal = {IEEE Trans. Automat. Control},
  year = {2017},
  volume = {62},
  number = {3},
  pages = {1368-1383},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/zarchejovgeoTAC17.pdf}
}

An alternating minimization algorithm for structured covariance completion problems
Zare, A., Chen, Y., Jovanović, M.R. and Georgiou, T.T.
In Proceedings of the 22nd International Symposium on Mathematical Theory of Network and Systems, 2016, pp. 117-119
[BibTeX] [PDF]

@inproceedings{zarchejovgeoMTNS16,
  author = {A. Zare and Y. Chen and M. R. Jovanović and T. T. Georgiou},
  title = {An alternating minimization algorithm for structured covariance completion problems},
  booktitle = {Proceedings of the 22nd International Symposium on Mathematical Theory of Network and Systems},
  year = {2016},
  pages = {117-119},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/zarchejovgeoMTNS16.pdf}
}

Structured covariance completion via proximal algorithms
Zare, A., Dhingra, N.K., Jovanović, M.R. and Georgiou, T.T.
In Proceedings of the 56th IEEE Conference on Decision and Control, 2017, pp. 3775-3780
[BibTeX] [PDF]

@inproceedings{zardhijovgeoCDC17,
  author = {A. Zare and N. K. Dhingra and M. R. Jovanović and T. T. Georgiou},
  title = {Structured covariance completion via proximal algorithms},
  booktitle = {Proceedings of the 56th IEEE Conference on Decision and Control},
  year = {2017},
  pages = {3775-3780},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/zardhijovgeoCDC17.pdf}
}

Stochastic dynamical modeling of turbulent flows
Zare, A., Georgiou, T.T. and Jovanović, M.R.
Annu. Rev. Control Robot. Auton. Syst., May, 2020, Vol. 3, pp. 195-219
[BibTeX] [PDF]

@article{zargeojovARC20,
  author = {A. Zare and T. T. Georgiou and M. R. Jovanović},
  title = {Stochastic dynamical modeling of turbulent flows},
  journal = {Annu. Rev. Control Robot. Auton. Syst.},
  year = {2020},
  volume = {3},
  pages = {195-219},
  note = {doi:10.1146/annurev-control-053018-023843; also arXiv:1908.09487},
  pdf = {/arxiv.org/abs/1908.09487}
}

Optimal sensor selection via proximal optimization algorithms
Zare, A. and Jovanović, M.R.
In Proceedings of the 57th IEEE Conference on Decision and Control, 2018, pp. 6514-6519
[BibTeX] [PDF]

@inproceedings{zarjovCDC18,
  author = {A. Zare and M. R. Jovanović},
  title = {Optimal sensor selection via proximal optimization algorithms},
  booktitle = {Proceedings of the 57th IEEE Conference on Decision and Control},
  year = {2018},
  pages = {6514-6519},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/zarjovCDC18.pdf}
}

Perturbation of system dynamics and the covariance completion problem
Zare, A., Jovanovic, M.R. and Georgiou, T.T.
In Proceedings of the 55th IEEE Conference on Decision and Control, 2016, pp. 7036-7041
[BibTeX] [PDF]

@inproceedings{zarjovgeoCDC16,
  author = {A. Zare and M. R. Jovanovic and T. T. Georgiou},
  title = {Perturbation of system dynamics and the covariance completion problem},
  booktitle = {Proceedings of the 55th IEEE Conference on Decision and Control},
  year = {2016},
  pages = {7036-7041},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/zarjovgeoCDC16.pdf}
}

Colour of turbulence
Zare, A., Jovanović, M.R. and Georgiou, T.T.
J. Fluid Mech., February, 2017, Vol. 812, pp. 636-680
[BibTeX] [PDF]

@article{zarjovgeoJFM17,
  author = {A. Zare and M. R. Jovanović and T. T. Georgiou},
  title = {Colour of turbulence},
  journal = {J. Fluid Mech.},
  year = {2017},
  volume = {812},
  pages = {636-680},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/zarjovgeoJFM17.pdf}
}

Alternating direction optimization algorithms for covariance completion problems
Zare, A., Jovanović, M.R. and Georgiou, T.T.
In Proceedings of the 2015 American Control Conference, 2015, pp. 515-520
[BibTeX] [PDF]

@inproceedings{zarjovgeoACC15,
  author = {A. Zare and M. R. Jovanović and T. T. Georgiou},
  title = {Alternating direction optimization algorithms for covariance completion problems},
  booktitle = {Proceedings of the 2015 American Control Conference},
  year = {2015},
  pages = {515-520},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/zarjovgeoACC15.pdf}
}

Completion of partially known turbulent flow statistics
Zare, A., Jovanović, M.R. and Georgiou, T.T.
In Proceedings of the 2014 American Control Conference, 2014, pp. 1680-1685
[BibTeX]

@inproceedings{zarjovgeoACC14,
  author = {A. Zare and M. R. Jovanović and T. T. Georgiou},
  title = {Completion of partially known turbulent flow statistics},
  booktitle = {Proceedings of the 2014 American Control Conference},
  year = {2014},
  pages = {1680-1685},
  note = {(Invited paper; Finalist, Best Student Paper Award)}
}

Completion of partially known turbulent flow statistics via convex optimization
Zare, A., Jovanović, M.R. and Georgiou, T.T.
In Proceedings of the 2014 Summer Program, 2014, pp. 345-354
[BibTeX] [PDF]

@inproceedings{zarjovgeoCTR14,
  author = {A. Zare and M. R. Jovanović and T. T. Georgiou},
  title = {Completion of partially known turbulent flow statistics via convex optimization},
  booktitle = {Proceedings of the 2014 Summer Program},
  year = {2014},
  pages = {345-354},
  pdf = {/viterbi-web.usc.edu/~mihailo/papers/zarjovgeoCTR14.pdf}
}

Turbulent drag reduction by streamwise traveling waves
Zare, A., Lieu, B.K. and Jovanović, M.R.
In Proceedings of the 51th IEEE Conference on Decision and Control, 2012, pp. 3122-3126
[BibTeX]

@inproceedings{zarliejovCDC12,
  author = {A. Zare and B. K. Lieu and M. R. Jovanović},
  title = {Turbulent drag reduction by streamwise traveling waves},
  booktitle = {Proceedings of the 51th IEEE Conference on Decision and Control},
  year = {2012},
  pages = {3122-3126}
}

Proximal algorithms for large-scale statistical modeling and sensoractuator selection/
Zare, A., Mohammadi, H., Dhingra, N.K., Georgiou, T.T. and Jovanović, M.R.
IEEE Trans. Automat. Control, 2019
[BibTeX] [PDF]

@article{zarmohdhigeojovTAC19,
  author = {A. Zare and H. Mohammadi and N. K. Dhingra and T. T. Georgiou and M. R. Jovanović},
  title = {Proximal algorithms for large-scale statistical modeling and sensor/actuator selection},
  journal = {IEEE Trans. Automat. Control},
  year = {2019},
  note = {doi:10.1109/TAC.2019.2948268; also arXiv:1807.01739},
  pdf = {/arxiv.org/abs/1807.01739}
}

Sparsity-promoting optimal control of spatially-invariant systems
Zoltowski, D.M., Dhingra, N.K., Lin, F. and Jovanović, M.R.
In Proceedings of the 2014 American Control Conference, 2014, pp. 1261-1266
[BibTeX]

@inproceedings{zoldhilinjovACC14,
  author = {D. M. Zoltowski and N. K. Dhingra and F. Lin and M. R. Jovanović},
  title = {Sparsity-promoting optimal control of spatially-invariant systems},
  booktitle = {Proceedings of the 2014 American Control Conference},
  year = {2014},
  pages = {1261-1266}
}

The reaction-diffusion equation

We illustrate how SISMatlab can be used to conduct modal and nonmodal analysis of the reaction-diffusion equation,

\[ \begin{align} \phi_{t}(y,t) \;&=\; \phi_{yy}(y,t) \,-\, \epsilon^2\,\phi (y,t) \, + \, d(y,t),\label{eq:0} \\ \end{align} \]

with homogeneous Neumann boundary conditions,

\[ \begin{align} [\partial_y \phi (\cdot, t)](\pm 1) \;& =\; 0, \label{eq:0bc} \end{align} \]

where \(t\) is time, \(y \in \left[ -1, 1 \right]\) is a spatial variable, and \( \epsilon \in \mathbb{R}\).

Eigenvalue decomposition

Problem

Compute the eigenvalue decomposition of the operator in Eq. \(\eqref{eq:0}\) with Neumann boundary conditions,

\[ \begin{equation} \begin{array}{rcl} (\mathrm D^2 \,-\, \epsilon^2 I)\,\phi (y) &=& \lambda \, I \, \phi (y), \\[0.1cm] [\mathrm D \phi (\cdot)](\pm 1) &=& 0, \end{array} \label{eq:1} \end{equation} \]

where \(\mathrm D = \mathrm d/\mathrm dy\), \(I\) is the identity operator, \(\lambda\) is an eigenvalue, and \(\phi\) is an eigenfunction.

Solution

See basic example for an in-depth discussion of functions that we use to solve the problem.

Step 1: Problem data
% Set problem data
% number of basis functions, differential order, spatial variable, parameters
N = 63; % N has to be an odd number
m = 2; % order of differential operator
y = sety(N); % spatially-independent variable

% parameter eps in reaction-diffusion equation
eps = 1; eps2 = eps*eps;
Step 2: Operators in TPBVP
% Represent operators Delta = D^2 - eps^2 I and I in e-value problem
Delta = cell(m+1,1); % cell array with coefficients
Delta{1} = 1.0; Delta{2} = 0; Delta{3} = -eps2;
I = cell(1,1); % Identity operator
I{1} = 1;
Step 3: Boundary conditions
% The first derivative operator 1.0 Dy + 0.0
Dy = cell(2,1); Dy{1} = 1.0; Dy{2} = 0.0;

% Neumann boundary conditions at y = \pm 1
bc = BCs(2,1); % two constraints on one variable
bc.Operator = {Dy; Dy};
bc.Points = [1; -1];

We now use sisEigs to compute the eigenpairs. sisEigs takes five inputs: order of the differential equation \(m\) (Eq. \(\eqref{eq:1}\) is a 2nd order differential equation), the number of basis functions \(N\), the operators in the generalized eigenvalue problem to be discretized (cell arrays in Matlab), and the boundary conditions.

sisEigs uses Matlab's sparse eigenvalue solver, eigs, as a default option and it returns \(6\) eigenvalues with largest magnitude. The optional arguments are the number of eigenvalues to be computed (in this case \(20\)); flag 'Full’ specifies the use of the regular eigenvalue solver eig in the place of the sparse solver eigs. Other valid flags mimic Matlab's eigs; 'LR’ and 'SR’ for the eigenvalues with the largest and smallest real part, and 'LM’ and 'SM’ for the eigenvalues with the largest and smallest magnitude.

Step 4: Compute eigenpairs
% Use sisEig to conduct the eigenvalue decomposition
[V,lambda] = sisEigs(n,N,Delta,I,bc,20,'Full');
3dflow
Fig.1 The eigenfunction corresponding to the second largest eigenvalue of
the reaction-diffusion equation \eqref{eq:0} with Neumann boundary conditions \eqref{eq:0bc}.

Frequency response analysis

Problem

Compute the singular values decomposition of the frequency response operator for the reaction-diffusion equation \(\eqref{eq:0}\) with homogeneous Neumann boundary conditions \(\eqref{eq:0bc}\).

Solution

The temporal Fourier transform can be used to represent the frequency response operator associated with system \(\eqref{eq:0}\)-\(\eqref{eq:0bc}\) as a TPBVP,

\[ \begin{align} \left[\mathcal A(\omega)\,\phi(\cdot)\right] (y) \;&=\; \left[\mathcal B(\omega)\, d(\cdot)\right](y),\notag\\ \xi (y) \;&=\; \left[\mathcal C(\omega)\,\phi(\cdot)\right](y),\label{eq:mot1c}\\ [\mathcal{L}_a \, \phi(\cdot)](a) \;&=\; [\mathcal{L}_b \, \phi(\cdot)](b) \;=\; 0,\notag \end{align} \]

where,

\[ \mathcal A (\omega) \;=\; ({\mathrm i} \omega \, + \, \epsilon^2) I \; - \; \mathrm D^2, \quad \mathcal B \;=\; \mathcal C \;=\; I, \quad \mathcal {L}_{\pm 1} \; = \; \mathrm D. \]

A feedback interconnection of the frequency response operator with its adjoint can be used to compute singular values (see the accompanying paper and Boyd),

\[ \begin{align} \left[ \begin{array}{cc} 0 &\mathcal{B}\mathcal{B}^{\dagger} \\ \mathcal{C}^{\dagger}\mathcal{C}&0 \end{array} \right] \left[ \begin{array}{c} \phi(y)\\ \psi(y) \end{array} \right] \;&=\; \gamma \left[\begin{array}{cc} \mathcal{A} & 0\\ 0 & \mathcal{A}^{\dagger} \end{array}\right]\left[ \begin{array}{c} \phi(y)\\ \psi(y) \end{array} \right], \label{eq:feedback}\\ \left[ \begin{array}{c} {[ {\mathcal L}_{\pm 1} \phi ( \cdot ) ]} (\pm 1) \\ {[ {\mathcal L}_{\pm 1} \psi ( \cdot ) ]} (\pm 1) \end{array} \right] \;&=\; \left[ \begin{array}{c} 0 \\ 0 \end{array} \right], \notag \end{align} \]

where \((\cdot)^{\dagger}\) denotes adjoint of the operator \((\cdot)\) and \(\psi\) is the auxiliary variable associated with the adjoint operator. The resulting eigenvalues determine the singular values in pairs of opposite signs, i.e., \(\gamma = \pm \sigma\).

Step 1: Problem data
% Set problem data
% number of basis functions, differential order, spatial variable, parameters
N = 63; % N has to be an odd number
m = 2; % order of differential operator
y = sety(N); % spatially-independent variable

% parameter eps in TPBVP
eps = 1; eps2 = eps*eps;
% temporal frequency
omega = 0;
Step 2: Operators in TPBVP
% Represent operators A, B, and C in the frequency response operator
A = cell(m+1,1); % cell array with coefficients
A{1} = -1.0; A{2} = 0; A{3} = 1i*omega + eps2;

% Identity operator
I = cell(1,1); I{1} = 1;

% Input and output operators B and C
B = I; C = I;
Step 3: Boundary conditions
% The first derivative operator 1.0 Dy + 0.0:
Dy = cell(2,1); Dy{1} = 1.0; Dy{2} = 0.0;

% Neumann boundary conditions at y = \pm 1
bc = BCs(2,1); % two constraints on one variable
bc.Operator = {Dy; Dy};
bc.Points = [1; -1];
Step 4: Compute singular values
[Phi0Psi0,gamma] = sisSvdfrs(2,2,N,A,B,C,bc,bc);
plot(y,Phi0Psi0{1,2}/val_rbc(Phi0Psi0{1,2}));
3dflow
Fig.1 The singular function corresponding to the second largest singular value
of the frequency response operator associated with Eqs. \eqref{eq:0}-\eqref{eq:0bc}.