Nonlinear Dynamics of Anisotropic Disturbances in Plane Couette Flow

DOI10.1137/S0036139900381420zbMath1035.76021MaRDI QIDQ2783740

Jacques Vanneste

Publication date: 17 April 2002

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

shear flowsasymptotic modelcritical layerecho effecttruncated Fourier expansioncross-stream scalerational-time dynamical systermstreamwise scalesuccessive Farey fractionstwo-mode interaction

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (10)

Landau damping: paraproducts and Gevrey regularity ⋮ Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation ⋮ Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case ⋮ Long‐Time Instability of the Couette Flow in Low Gevrey Spaces ⋮ Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations ⋮ Nonlinear echoes and Landau damping with insufficient regularity ⋮ Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case ⋮ Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations ⋮ Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow ⋮ Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions

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