1. 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. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Modeling mode interactions in boundary layer flows via Parabolized Floquet Equations. Phys. Rev. Fluids, 4(2):023901 (22 pages), February 2019. Keyword(s): Boundary layers, Control-oriented modeling, Distributed systems, Floquet theory, H-type transition, Laminar streaks, Parabolized Floquet equations, Parabolized stability equations, Periodic systems, Transition to turbulence. [bibtex-entry]

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