The Cauchy problem for the compressible Navier-Stokes equations in the Lp-framework

被引：20
|
作者：
Mucha, PB [1 ]
机构：
[1] Warsaw Univ, Inst Appl Math & Mech, PL-02097 Warsaw, Poland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 52卷 / 04期
关键词：
viscous barotropic compressible fluid motion; global existence; sharp regularity; the L(p-)framework;
D O I：
10.1016/S0362-546X(02)00270-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The global in time existence of regular solutions to the compressible Navier-Stokes equations in the whole space is obtained. The solutions are close to nontrivial equilibrium solutions. Moreover, the result is sharp in the L-p-framework, the velocity of the fluid belongs to W-r(2,1) and the initial density to W-r(1) with r > 3. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1379 / 1392
页数：14
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