Nonlinear stability of a parabolic velocity profile in a plane periodic channel

被引：0

作者：

O. V. Troshkin

机构：

[1] Russian Academy of Sciences,Institute for Computer

来源：

Computational Mathematics and Mathematical Physics | 2013年 / 53卷

关键词：

plane Poiseuille and Couette flows; nonlinear stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An inviscid or viscous incompressible flow with a general parabolic velocity profile in an infinite plane periodic channel with parallel walls that can move is considered with the impermeability conditions (for the Euler equations) or the no-slip conditions (for the Navier-Stokes equations). The nonlinear (for the original equations) and nonlocal (for all Reynolds numbers) stability of the unperturbed flow with respect to arbitrary two-dimensional smooth perturbations of the initial velocity field is established.

引用

页码：1729 / 1747

页数：18

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