Strong solutions of the Navier-Stokes equations for isentropic compressible fluids

被引：183

作者：

Choe, HJ ^{[1
]}

Kim, H ^{[1
]}

机构：

[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 190卷 / 02期

关键词：

Navier-Stokes equations; isentropic compressible fluids; strong solutions; vacuum;

D O I：

10.1016/S0022-0396(03)00015-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study strong solutions of the isentropic compressible Navier-Stokes equations in a domain Q subset of R-3. We first prove the local existence of unique strong solutions provided that the initial data rho(0) and u(0) satisfy a natural compatibility condition. The important point in this paper is that we allow the initial vacuum: the initial density may vanish in an open subset of Q. We then prove a new uniqueness result and stability result. Our results are valid for unbounded domains as well as bounded ones. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：504 / 523

页数：20

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