Vacuum states on compressible Navier-Stokes equations with general density-dependent viscosity and general pressure law

被引：1

作者：

Sun, Mei-man ^{[1
]}

Zhu, Chang-jiang ^{[1
]}

机构：

[1] Cent China Normal Univ, Dept Math, Lab Nonlinear Anal, Wuhan 430079, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; density-dependent viscosity; vacuum; global existence;

D O I：

10.1007/s11425-007-0055-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the one-dimensional motion of viscous gas with a general pressure law and a general density-dependent viscosity coefficient when the initial density connects to the vacuum state with a jump. We prove the global existence and the uniqueness of weak solutions to the compressible Navier-Stokes equations by using the line method. For this, some new a priori estimates are obtained to take care of the general viscosity coefficient A(p) instead of p(theta).

引用

页码：1173 / 1185

页数：13

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