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physics.flu-dyn2026
Algebraic models of plane Couette equilibria
Pratik P. Aghor, John F. Gibson
Recent computations of weakly unstable equilibria, traveling waves, and periodic orbits in transitional shear flows suggest a spatiotemporal, dynamical-systems approach to low-Reyn…
physics.flu-dyn2024
Chaotic mixing in plane Couette turbulence
John R. Elton, Predrag CvitanoviÄ, Jonathan Halcrow +1
Lagrangian tracer particle trajectories for invariant solutions of the Navier-Stokes equations confined to the three-dimensional geometry of plane Couette flow are studied. Treatin…
physics.flu-dyn2024
Symmetry groups and invariant solutions of plane Poiseuille flow
Pratik P. Aghor, John F. Gibson
Equilibrium, traveling-wave, and periodic-orbit solutions of the Navier-Stokes equations provide a promising avenue for investigating the structure, dynamics, and statistics of tra…