Asymptotic Behavior of Solutions of the Compressible Navier-Stokes Equation Around the Plane Couette Flow

被引：23

作者：

Kagei, Yoshiyuki ^{[1
]}

机构：

[1] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2011年 / 13卷 / 01期

基金：

日本学术振兴会;

关键词：

Compressible Navier-Stokes equation; asymptotic behavior; plane Couette flow; HEAT-CONDUCTIVE FLUIDS; LARGE-TIME BEHAVIOR; INFINITE-LAYER; HALF-SPACE; MOTION;

D O I：

10.1007/s00021-009-0019-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic behavior of solutions to the compressible Navier-Stokes equation around the plane Couette flow is investigated. It is shown that the plane Couette flow is asymptotically stable for initial disturbances sufficiently small in some L (2) Sobolev space if the Reynolds and Mach numbers are sufficiently small. Furthermore, the disturbances behave in large time in L (2) norm as solutions of an n - 1 dimensional linear heat equation with a convective term.

引用

页码：1 / 31

页数：31

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