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

被引：0
作者：
Mei-man SUN Chang-jiang ZHU Laboratory of Nonlinear Analysis
机构：
来源：
Science in China(Series A:Mathematics) | 2007年 / 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：
暂无
中图分类号：
O175.2 [偏微分方程];
学科分类号：
070104 ;
摘要：
In this paper,we study the one-dimensional motion of viscous gas with a general pres- sure 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 coefficientμ（ρ）instead ofρ.
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页码：1173 / 1185
页数：13
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