Linear instability implies nonlinear instability for various types of viscous boundary layers.

DOI10.1016/S0294-1449(02)00009-4zbMath1114.76024OpenAlexW2044135572MaRDI QIDQ1868107

Emmanuel Grenier, Benoît Desjardins

Publication date: 27 April 2003

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2003__20_1_87_0

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Ill-posed problems for PDEs (35R25) General theory of rotating fluids (76U05) Rotation in hydrodynamic stability (76E07)

Related Items (9)

Vanishing viscosity limit of 1D quasilinear parabolic equation with multiple boundary layers ⋮ Weakly nonlinear analysis of the  α effect ⋮ Transverse nonlinear instability of Euler-Korteweg solitons ⋮ An approach to rotating boundary layers based on vector Radon measures ⋮ Three-dimensional instability of planar flows ⋮ Shear layer solutions of incompressible MHD and dynamo effect ⋮ Nonlinear Instability of the Two-Dimensional Striation Model About Smooth Steady States ⋮ Unnamed Item ⋮ Stability of large amplitude Ekman-Hartmann boundary layers in MHD: the case of ill-prepared data

Cites Work

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