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. 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]

1. 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]



2. 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]



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]

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