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
收藏
页码：1173 / 1185
页数：13
相关论文
共 50 条
12345