STABILITY AND INSTABILITY OF NAVIER BOUNDARY LAYERS

被引：0
|
作者：
Paddick, Matthew [1 ]
机构：
[1] Univ Rennes 1, IRMAR, F-35014 Rennes, France
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2014年 / 27卷 / 9-10期
关键词：
VANISHING VISCOSITY LIMIT; STOKES EQUATIONS; NONLINEAR INSTABILITY; INVISCID LIMITS; EULER; FLOW; EXISTENCE; HALF;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the inviscid limit problem for the incompressible Navier-Stokes equation on a half-plane with a Navier boundary condition depending on the viscosity. On one hand, we prove the L-2 convergence of Leray solutions to the solution of the Euler equation. On the other hand, we show the nonlinear instability of some WKB expansions in the stronger L-infinity and H-S (s > 1) norms. These results are not contradictory, and in the periodic setting, we provide an example for which both phenomena occur simultaneously.
引用
收藏
页码：893 / 930
页数：38
相关论文
共 50 条
12345