1. 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]



2. 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]

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. 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]



3. G. Hariharan, S. Kumar, and M. R. Jovanovic. Well-conditioned ultraspherical and spectral integration methods for resolvent analysis of channel flows of Newtonian and viscoelastic fluids. J. Comput. Phys., 439:110241 (25 pages), August 2021. Keyword(s): Distributed systems theory, Computational tools for spatially distributed systems, Flow modeling and control, Input-output analysis, Spatio-temporal frequency responses, Spectral integration method, Uncertainty quantification in PDEs. [bibtex-entry]



4. 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]



5. 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]



6. 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]



7. 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]



8. 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]



9. 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]

1. 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]



2. 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]



3. 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]



4. 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]



5. 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]



6. M. R. Jovanovic and S. Kumar. Transient response of velocity fluctuations in inertialess channel flows of viscoelastic fluids. In Proceedings of the 2010 American Control Conference, Baltimore, MD, pages 5682-5687, 2010. Note: (Invited paper). [bibtex-entry]



7. 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]



8. 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]

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