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.
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页码：1729 / 1747
页数：18
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