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Publications about 'Transition to turbulence'
Theses
  1. A. Dwivedi. Global input-output analysis of flow instabilities in high-speed compressible flows. PhD thesis, University of Minnesota, 2020. Keyword(s): Adjoint equations, Base-flow sensitivity, Compressible flows, Compression ramp flow, Direct numerical simulations, Energy amplification, Flow modeling and control, Global stability analysis, Hypersonic flows, Input-output analysis, Shock Boundary layer interaction, Reattachment vortices, Transient growth, Transition to turbulence. [bibtex-entry]


  2. G. Hariharan. Transition to elastic turbulence in channel flows. PhD thesis, University of Minnesota, 2020. Keyword(s): Distributed systems theory, Computational tools for spatially distributed systems, Flow modeling and control, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Uncertainty quantification in PDEs, Spatio-temporal impulse responses, Spatio-temporal frequency responses, Spectral integration method. [bibtex-entry]


  3. W. Ran. Modeling and analysis of parallel and spatially-evolving wall-bounded shear flows. PhD thesis, University of Southern California, 2020. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Drag reduction, Energy amplification, Floquet theory, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Parabolized Floquet equations, Parabolized stability equations, Riblets, Sensor-free flow control, Spatially-evolving flows, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Transition to turbulence, Turbulence modeling. [bibtex-entry]


  4. B. K. Lieu. Dynamics and control of Newtonian and viscoelastic fluids. PhD thesis, University of Minnesota, 2014. Keyword(s): Drag reduction, Controlling the onset of turbulence, Control of turbulent flows, Flow modeling and control, Navier-Stokes equations, Spatially-periodic systems, Traveling waves, Vibrational control, Distributed systems theory, Computational tools for spatially distributed systems, Uncertainty quantification in PDEs, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Worst-case amplification. [bibtex-entry]


Journal articles
  1. H. A. Castillo, M. R. Jovanovic, S. Kumar, A. Morozov, V. Shankar, G. Subramanian, and H. J. Wilson. Understanding viscoelastic flow instabilities: Oldroyd-B and beyond. J. Non-Newtonian Fluid Mech., 302:104742 (39 pages), April 2022. Note: Part of the special issue commemorating the birth centenary of James Oldroyd. Keyword(s): Flow modeling and control, Input-output analysis, Elastic turbulence, Energy amplification, Transition to turbulence, Uncertainty quantification in PDEs, Spatio-temporal frequency responses, Viscoelastic fluids, Viscoelastic instabilities. [bibtex-entry]


  2. A. Dwivedi, G. S. Sidharth, and M. R. Jovanovic. Oblique transition in hypersonic double-wedge flow. J. Fluid Mech., 948:A37, October 2022. Keyword(s): Compressible flows, Direct numerical simulations, Double-wedge flow, Flow modeling and control, Hypersonic flows, Input-output analysis, Oblique waves, Shock boundary layer interaction, Reattachment vortices, Transition to turbulence, Weakly nonlinear analysis. [bibtex-entry]


  3. G. Hariharan, M. R. Jovanovic, and S. Kumar. Localized stress amplification in inertialess channel flows of viscoelastic fluids. J. Non-Newtonian Fluid Mech., 291:104514 (14 pages), May 2021. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Uncertainty quantification in PDEs, Spatio-temporal impulse responses. [bibtex-entry]


  4. M. R. Jovanovic. From bypass transition to flow control and data-driven turbulence modeling: An input-output viewpoint. Annu. Rev. Fluid Mech., 53(1):311-345, January 2021. Keyword(s): Colored noise, Convex optimization, Drag reduction, Energy amplification, Flow modeling and control, Input-output analysis, Low-complexity modeling, Low-rank approximation, Matrix completion problems, Navier-Stokes equations, Nuclear norm regularization, Simulation-free design, Structured covariances, Transition to turbulence, Turbulence modeling. [bibtex-entry]


  5. A. Dwivedi, N. Hildebrand, J. W. Nichols, G. V. Candler, and M. R. Jovanovic. Transient growth analysis of oblique shock wave/boundary-layer interactions at Mach 5.92. Phys. Rev. Fluids, 5(6):063904 (20 pages), June 2020. Keyword(s): Adjoint equations, Base-flow sensitivity, Compressible flows, Direct numerical simulations, Energy amplification, Global stability analysis, Flow modeling and control, Hypersonic flows, Transient growth, Transition to turbulence. [bibtex-entry]


  6. A. Dwivedi, G. S. Sidharth, J. W. Nichols, G. V. Candler, and M. R. Jovanovic. Reattachment vortices in hypersonic compression ramp flow: an input-output analysis. J. Fluid Mech., 880:113-135, December 2019. Keyword(s): Compressible flows, Compression ramp flow, Flow modeling and control, Hypersonic flows, Input-Output analysis, Shock Boundary layer interaction, Reattachment vortices, Transition to turbulence. [bibtex-entry]


  7. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Modeling mode interactions in boundary layer flows via Parabolized Floquet Equations. Phys. Rev. Fluids, 4(2):023901 (22 pages), February 2019. Keyword(s): Boundary layers, Control-oriented modeling, Distributed systems, Floquet theory, H-type transition, Laminar streaks, Parabolized Floquet equations, Parabolized stability equations, Periodic systems, Transition to turbulence. [bibtex-entry]


  8. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Stochastic receptivity analysis of boundary layer flow. Phys. Rev. Fluids, 4(9):093901 (28 pages), September 2019. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]


  9. G. Hariharan, M. R. Jovanovic, and S. Kumar. Amplification of localized body forces in channel flows of viscoelastic fluids. J. Non-Newtonian Fluid Mech., 260:40-53, October 2018. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Uncertainty quantification in PDEs, Spatio-temporal impulse responses. [bibtex-entry]


  10. N. Hildebrand, A. Dwivedi, J. W. Nichols, M. R. Jovanovic, and G. V. Candler. Simulation and stability analysis of oblique shock wave/boundary layer interactions at Mach 5.92. Phys. Rev. Fluids, 3(1):013906 (23 pages), January 2018. Keyword(s): Adjoint equations, Base-flow sensitivity, Compressible flows, Direct numerical simulations, Global stability analysis, Flow modeling and control, Hypersonic flows, Transition to turbulence. [bibtex-entry]


  11. V. L. Thomas, B. K. Lieu, M. R. Jovanovic, B. F. Farrell, P. J. Ioannou, and D. F. Gayme. Self-sustaining turbulence in a restricted nonlinear model of plane Couette flow. Phys. Fluids, 26(10):105112 (17 pages), October 2014. Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


  12. B. K. Lieu, M. R. Jovanovic, and S. Kumar. Worst-case amplification of disturbances in inertialess Couette flow of viscoelastic fluids. J. Fluid Mech., 723:232-263, May 2013. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Uncertainty quantification in PDEs, Worst-case amplification. [bibtex-entry]


  13. M. R. Jovanovic and S. Kumar. Nonmodal amplification of stochastic disturbances in strongly elastic channel flows. J. Non-Newtonian Fluid Mech., 166(14-15):755-778, August 2011. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Energy amplification, Elastic turbulence, Transition to turbulence, Singular perturbation methods. [bibtex-entry]


  14. M. R. Jovanovic and S. Kumar. Transient growth without inertia. Phys. Fluids, 22(2):023101 (19 pages), February 2010. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Energy amplification, Elastic turbulence, Transition to turbulence. [bibtex-entry]


  15. N. Hoda, M. R. Jovanovic, and S. Kumar. Frequency responses of streamwise-constant perturbations in channel flows of Oldroyd-B fluids. J. Fluid Mech., 625:411-434, April 2009. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


  16. N. Hoda, M. R. Jovanovic, and S. Kumar. Energy amplification in channel flows of viscoelastic fluids. J. Fluid Mech., 601:407-424, April 2008. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


  17. M. R. Jovanovic and B. Bamieh. Componentwise energy amplification in channel flows. J. Fluid Mech., 534:145-183, July 2005. Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


Conference articles
  1. D. Bozic, A. Dwivedi, and M. R. Jovanovic. On the weakly nonlinear frequency response analysis of the Navier-Stokes equations. In Proceedings of the 2025 American Control Conference, Denver, CO, 2025. Note: Submitted. Keyword(s): Flow modeling and control, Input-output analysis, Oblique waves, Spatio-temporal frequency responses, Transition to turbulence, Weakly nonlinear analysis. [bibtex-entry]


  2. A. Dwivedi and M. R. Jovanovic. Energy amplification of stochastically-forced hypersonic blunt body flows. In Proceedings of the 2023 American Control Conference, San Diego, CA, pages 1596-1601, 2023. Keyword(s): Compressible flows, Input-output analysis, Energy amplification, Flow modeling and control, High-speed compressible boundary layers, Hypersonic flows, Transition to turbulence. [bibtex-entry]


  3. A. Dwivedi and M. R. Jovanovic. Noise amplification in hypersonic blunt body flows. In Proceedings of the 2023 AIAA Aviation and Aeronautics Forum, San Diego, CA, pages 3709 (12 pages), 2023. Keyword(s): Compressible flows, Input-output analysis, Energy amplification, Flow modeling and control, High-speed compressible boundary layers, Hypersonic flows, Transition to turbulence. [bibtex-entry]


  4. A. Dwivedi and M. R. Jovanovic. A weakly nonlinear analysis of transition in a hypersonic flow. In Proceedings of the 2022 American Control Conference, Atlanta, GA, pages 4171-4176, 2022. Keyword(s): Compressible flows, Direct numerical simulations, Double-wedge flow, Flow modeling and control, Hypersonic flows, Input-output analysis, Shock boundary layer interaction, Reattachment vortices, Transition to turbulence, Weakly nonlinear analysis. [bibtex-entry]


  5. A. Dwivedi, G. V. Candler, and M. R. Jovanovic. A frequency domain analysis of compressible linearized Navier-Stokes equations in a hypersonic compression ramp flow. In Proceedings of the 2020 American Control Conference, Denver, CO, pages 4325-4330, 2020. Keyword(s): Compressible flows, Compression ramp flow, Flow modeling and control, Hypersonic flows, Input-Output analysis, Shock Boundary layer interaction, Reattachment vortices, Transition to turbulence. [bibtex-entry]


  6. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Boundary layer receptivity analysis via the algebraic Lyapunov equation. In Proceedings of the 2020 AIAA SciTech Forum and Exposition, Orlando, FL, pages 0109 (15 pages), 2020. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]


  7. N. Hildebrand, A. Dwivedi, G. S. Sidharth, J. W. Nichols, M. R. Jovanovic, and G. V. Candler. Instabilities in laminar shock boundary layer interactions. In Proceedings of the 2019 IUTAM Symposium on Laminar-Turbulent Transition, London, United Kingdom, 2019. Keyword(s): Adjoint equations, Base-flow sensitivity, Compressible flows, Direct numerical simulations, Global stability analysis, Flow modeling and control, Hypersonic flows, Transition to turbulence. [bibtex-entry]


  8. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Relating global and local stochastic receptivity analysis of boundary layer flows. In Proceedings of the 2019 American Control Conference, Philadelphia, PA, pages 3212-3217, 2019. Note: (Invited paper). Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]


  9. G. Hariharan, M. R. Jovanovic, and S. Kumar. Spatio-temporal impulse responses in channel flow of viscoelastic fluids. In Proceedings of the 2018 American Control Conference, Milwaukee, WI, pages 2857-2862, 2018. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Uncertainty quantification in PDEs, Spatio-temporal impulse responses. [bibtex-entry]


  10. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Low-complexity modeling of mode interactions in boundary layer flows. In Proceedings of the 2018 American Control Conference, Milwaukee, WI, pages 134-139, 2018. Note: (Invited paper). Keyword(s): Boundary layers, Control-oriented modeling, Distributed systems, Floquet theory, Parabolized stability equations, Spatially-periodic systems, Transition to turbulence. [bibtex-entry]


  11. A. Dwivedi, J. W. Nichols, M. R. Jovanovic, and G. V. Candler. Optimal spatial growth of streaks in oblique shock/boundary layer interaction. In Proceedings of the 47th AIAA Fluid Dynamics Conference, Denver, CO, pages 4163 (17 pages), 2017. Keyword(s): Compressible flows, Direct numerical simulations, Transient growth, Hypersonic flows, Transition to turbulence. [bibtex-entry]


  12. N. Hildebrand, A. Dwivedi, J. W. Nichols, G. V. Candler, and M. R. Jovanovic. Sensitivity analysis for the control of oblique shock wave/laminar boundary layer interactions at Mach $5.92$. In Proceedings of the 47th AIAA Fluid Dynamics Conference, Denver, CO, pages 4312 (14 pages), 2017. Keyword(s): Adjoint equations, Base-flow sensitivity, Compressible flows, Direct numerical simulations, Global stability analysis, Flow modeling and control, Hypersonic flows, Transition to turbulence. [bibtex-entry]


  13. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Low-complexity stochastic modeling of spatially-evolving flows. In Proceedings of the 2017 American Control Conference, Seattle, WA, pages 3815-3820, 2017. Note: (Invited paper). Keyword(s): Flow modeling and control, Low-complexity modeling, Parabolized stability equations, Spatially-evolving flows, Transition to turbulence, Turbulence modeling. [bibtex-entry]


  14. P. Shrestha, J. W. Nichols, M. R. Jovanovic, and G. V. Candler. Study of trip-induced hypersonic boundary layer transition. In Proceedings of the 47th AIAA Fluid Dynamics Conference, Denver, CO, pages 4513 (21 pages), 2017. Keyword(s): Direct numerical simulations, Dynamic mode decomposition, Roughness elements, Hypersonic flows, Transition to turbulence. [bibtex-entry]


  15. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Low-complexity stochastic modeling of spatially-evolving flows. In Proceedings of the 2016 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 285-294, 2016. Keyword(s): Flow modeling and control, Low-complexity modeling, Parabolized stability equations, Spatially-evolving flows, Transition to turbulence, Turbulence modeling. [bibtex-entry]


  16. P. Shrestha, A. Dwivedi, N. Hildebrand, J. W. Nichols, M. R. Jovanovic, and G. V. Candler. Interaction of an oblique shock with a transitional Mach $5.65$ boundary layer. In Proceedings of the 46th AIAA Fluid Dynamics Conference, Washington, DC, pages 3647 (14 pages), 2016. Keyword(s): Compressible flows, Direct numerical simulations, Dynamic mode decomposition, Flow modeling and control, Hypersonic flows, Transition to turbulence. [bibtex-entry]


  17. B. K. Lieu and M. R. Jovanovic. Model-based analysis of polymer drag reduction in a turbulent channel flow. In Proceedings of the 2013 American Control Conference, Washington, DC, pages 485-490, 2013. Note: (Invited paper). Keyword(s): Drag reduction, Control of turbulent flows, Flow modeling and control, Input-output analysis, Energy amplification, Simulation-free design, Transition to turbulence, Viscoelastic fluids. [bibtex-entry]


  18. B. F. Farrell, D. F. Gayme, P. J. Ioannou, B. K. Lieu, and M. R. Jovanovic. Dynamics of the roll and streak structure in transition and turbulence. In Proceedings of the 2012 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 43-54, 2012. Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


  19. B. K. Lieu and M. R. Jovanovic. Analysis of drag reduction by polymers in a turbulent channel flow. In Proceedings of the 2012 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 65-74, 2012. Keyword(s): Drag reduction, Control of turbulent flows, Flow modeling and control, Input-output analysis, Energy amplification, Simulation-free design, Transition to turbulence, Viscoelastic fluids. [bibtex-entry]


  20. B. K. Lieu and M. R. Jovanovic. Slow-fast decomposition of an inertialess flow of viscoelastic fluids. In Proceedings of the 2012 American Control Conference, Montreal, Canada, pages 4369-4374, 2012. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Energy amplification, Elastic turbulence, Transition to turbulence, Singular perturbation methods. [bibtex-entry]


  21. T. Sayadi, J. W. Nichols, P. J. Schmid, and M. R. Jovanovic. Dynamic mode decomposition of H-type transition to turbulence. In Proceedings of the 2012 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 5-14, 2012. Keyword(s): Boundary layers, Dynamic mode decomposition, Flow modeling and control, Navier-Stokes equations, Transition to turbulence. [bibtex-entry]


  22. B. K. Lieu, M. R. Jovanovic, and S. Kumar. Worst-case amplification of disturbances in inertialess flows of viscoelastic fluids. In Preprints of the 18th IFAC World Congress, Milano, Italy, pages 14458-14463, 2011. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Uncertainty quantification in PDEs, Worst-case amplification. [bibtex-entry]


  23. R. Moarref, B. K. Lieu, and M. R. Jovanovic. Spatially-localized optimal control of transition to turbulence. In Proceedings of the 2011 American Control Conference, San Francisco, CA, pages 3577-3582, 2011. Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


  24. B. K. Lieu, R. Moarref, and M. R. Jovanovic. Preventing transition to turbulence using streamwise traveling waves: direct numerical simulations. In Proceedings of the 2010 American Control Conference, Baltimore, MD, pages 3335-3340, 2010. [bibtex-entry]


  25. R. Moarref and M. R. Jovanovic. Preventing transition to turbulence using streamwise traveling waves: theoretical analysis. In Proceedings of the 2010 American Control Conference, Baltimore, MD, pages 3329-3334, 2010. [bibtex-entry]


  26. R. Moarref, B. K. Lieu, and M. R. Jovanovic. Optimal localized control of transitional channel flow. In Proceedings of the 2010 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 107-118, 2010. Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


  27. M. R. Jovanovic and S. Kumar. Variance amplification in channel flows of strongly elastic polymer solutions. In Proceedings of the 2009 American Control Conference, Saint Louis, MO, pages 842-847, 2009. Note: (Invited paper). Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Energy amplification, Elastic turbulence, Transition to turbulence, Singular perturbation methods. [bibtex-entry]


  28. N. Hoda, M. R. Jovanovic, and S. Kumar. Input-output analysis of the 2D/3C model in channel flows of viscoelastic fluids. In Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, pages 841-846, 2008. Note: (Invited paper). Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


  29. F. Lin and M. R. Jovanovic. Energy amplification in a parallel Blasius boundary layer flow subject to free-stream turbulence. In Proceedings of the 2008 American Control Conference, Seattle, WA, pages 3070-3075, 2008. Keyword(s): Boundary layers, Flow modeling and control, Navier-Stokes equations, Input-output analysis, Free-stream turbulence, Energy amplification, Transition to turbulence. [bibtex-entry]


  30. R. Moarref and M. R. Jovanovic. On using the streamwise traveling waves for variance suppression in channel flows. In Proceedings of the 2007 American Control Conference, New York City, NY, pages 2060-2065, 2007. Note: (Invited paper; Finalist, Best Student Paper Award). Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Parametric resonance, Spatially-periodic systems, Vibrational control, Energy amplification, Transition to turbulence. [bibtex-entry]


  31. M. R. Jovanovic. Turbulence suppression in channel flows by small amplitude transverse wall oscillations. In Proceedings of the 2006 American Control Conference, Minneapolis, MN, pages 1161-1166, 2006. Note: (Invited paper). Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Parametric resonance, Time-periodic systems, Vibrational control, Energy amplification, Transition to turbulence. [bibtex-entry]


  32. M. R. Jovanovic, R. Moarref, and D. You. Turbulence suppression in channel flows by means of a streamwise traveling wave. In Proceedings of the 2006 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 481-494, 2006. Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Parametric resonance, Spatially-periodic systems, Vibrational control, Energy amplification, Transition to turbulence. [bibtex-entry]


  33. R. Moarref and M. R. Jovanovic. Transition control using an array of streamwise vortices. In Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, pages 107-112, 2006. Note: (Invited paper). Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Parametric resonance, Time-periodic systems, Vibrational control, Energy amplification, Transition to turbulence. [bibtex-entry]


  34. M. R. Jovanovic and B. Bamieh. Unstable modes versus non-normal modes in supercritical channel flows. In Proceedings of the 2004 American Control Conference, Boston, MA, pages 2245-2250, 2004. Keyword(s): Flow modeling and control, Input-output analysis, Navier-Stokes equations, Energy amplification, Transition to turbulence. [bibtex-entry]


  35. M. R. Jovanovic and B. Bamieh. Frequency domain analysis of the linearized Navier-Stokes equations. In Proceedings of the 2003 American Control Conference, Denver, CO, pages 3190-3195, 2003. Keyword(s): Flow modeling and control, Input-output analysis, Navier-Stokes equations, Energy amplification, Transition to turbulence. [bibtex-entry]


  36. M. R. Jovanovic and B. Bamieh. The spatio-temporal impulse response of the linearized Navier-Stokes equations. In Proceedings of the 2001 American Control Conference, Arlington, VA, pages 1948-1953, 2001. Keyword(s): Flow modeling and control, Input-output analysis, Navier-Stokes equations, Transition to turbulence. [bibtex-entry]



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