1. 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. 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]



2. 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]



3. 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]



4. 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]



5. 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]



6. 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]



7. 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]

1. 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, 2017. Note: To appear. Keyword(s): Direct numerical simulations, Transient growth, Hypersonic flows, Transition to turbulence. [bibtex-entry]



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



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



4. 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, 2016. Keyword(s): Direct numerical simulations, Dynamic mode decomposition, Flow modeling and control, Hypersonic flows, Transition to turbulence. [bibtex-entry]



5. 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]



6. 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]



7. 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]



8. 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, Montréal, 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]



9. 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]



10. 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]



11. 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]



12. 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]



13. 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]



14. 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]



15. 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]



16. 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]



17. 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]



18. 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]



19. 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]



20. 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]



21. 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]



22. 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]



23. 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]



24. 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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