论文信息 - Linear instability implies nonlinear instability for various types of viscous boundary layers

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

Abstract The aim of this paper is to give a simple proof to the fact that linear instability implies nonlinear instability for two classes of boundary layers: Ekman layers, mixed Ekman Hartmann layers. In the case of rotating fluids, we prove that linear instability of Ekman boundary layers (as studied in Lilly's work [14]) implies nonlinear instability in L∞ norm. This result describes the onset of turbulence at high enough Reynolds numbers. Application of these techniques to MHD models is also given.

B. Desjardins | E. Grenier | B. Desjardins | E. Grenier | Limites Visqueuses

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