1. 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]



2. 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]



3. 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]



4. 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]



5. 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. 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]



2. 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]



3. 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]



4. 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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