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. W. Ran. Modeling and analysis of parallel and spatially-evolving wall-bounded shear flows. PhD thesis, University of Southern California, 2020. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Drag reduction, Energy amplification, Floquet theory, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Parabolized Floquet equations, Parabolized stability equations, Riblets, Sensor-free flow control, Spatially-evolving flows, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Transition to turbulence, Turbulence modeling. [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, 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]



3. W. Ran, A. Zare, and M. R. Jovanovic. Model-based design of riblets for turbulent drag reduction. J. Fluid Mech., 906:A7 (38 pages), January 2021. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]

1. D. Bozic, A. Dwivedi, and M. R. Jovanovic. On the weakly nonlinear frequency response analysis of the Navier-Stokes equations. In Proceedings of the 2025 American Control Conference, Denver, CO, 2025. Note: Submitted. Keyword(s): Flow modeling and control, Input-output analysis, Oblique waves, Spatio-temporal frequency responses, Transition to turbulence, Weakly nonlinear analysis. [bibtex-entry]



2. W. Ran, A. Zare, and M. R. Jovanovic. Frequency-response analysis of riblets for turbulent drag reduction. In Proceedings of the 24th International Symposium on Mathematical Theory of Network and Systems, Cambridge, UK, 2020. Note: Submitted. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]



3. W. Ran, A. Zare, and M. R. Jovanovic. Drag reduction in turbulent channel flow over spatially periodic surfaces. In Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, pages 5918-5923, 2019. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]

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