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 and M. R. Jovanovic. Computation of frequency responses for linear time-invariant PDEs on a compact interval. J. Comput. Phys., 250:246-269, October 2013. Keyword(s): Distributed systems theory, Computational tools for spatially distributed systems, Uncertainty quantification in PDEs. [bibtex-entry]



3. 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]



4. B. K. Lieu, R. Moarref, and M. R. Jovanovic. Controlling the onset of turbulence by streamwise traveling waves. Part 2: Direct numerical simulations. J. Fluid Mech., 663:100-119, November 2010. Keyword(s): Controlling the onset of turbulence, Direct numerical simulations, Energy amplification, Flow modeling and control, Input-output analysis, Navier-Stokes equations, Parametric resonance, Relaminarization, Spatially-periodic systems, Traveling waves, Turbulent flows, Vibrational control. [bibtex-entry]

1. 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]



2. 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]



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, 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]



5. A. Zare, B. K. Lieu, and M. R. Jovanovic. Turbulent drag reduction by streamwise traveling waves. In Proceedings of the 51th IEEE Conference on Decision and Control, Maui, HI, pages 3122-3126, 2012. Keyword(s): Drag reduction, Control of turbulent flows, Flow modeling and control, Input-output analysis, Navier-Stokes equations, Parametric resonance, Perturbation analysis, Simulation-free design, Streamwise traveling waves, Spatially-periodic systems, Vibrational control. [bibtex-entry]



6. B. K. Lieu and M. R. Jovanovic. Computation of the frequency responses for distributed systems with one spatial variable. In Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, pages 6956-6961, 2011. Keyword(s): Distributed systems theory, Computational tools for spatially distributed systems, Uncertainty quantification in PDEs. [bibtex-entry]



7. 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]



8. 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]



9. 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]



10. 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]

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