The slightly compressible Navier-Stokes equations revisited

被引：7

作者：

Fabrie, P ^{[1
]}

Galusinski, C ^{[1
]}

机构：

[1] Univ Bordeaux 1, CNRS, UMR 5466, F-33400 Talence, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 46卷 / 08期

关键词：

Navier-Stokes equations; slightly compressible; asymptotic behavior; asymptotic expansion;

D O I：

10.1016/S0362-546X(00)00168-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A discussion on slightly compressible Navier-Stokes equations was presented. Some boundary condition were added to model the problems on a 2-D bounded regular domain ω. The no-slip condition, in the open surface condition or in the case of a periodic domain was of the interest. The convergence results of (uε, pε) to (u,p), were obtained in a weak sense on the pressure. No result on decay (with time) of divergence of velocity was present.

引用

页码：1165 / 1195

页数：31

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