ZERO DISSIPATION LIMIT TO RAREFACTION WAVE WITH VACUUM FOR ONE-DIMENSIONAL FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：10

作者：

Li, Ming-Jie ^{[1
]}

Wang, Teng ^{[2
]}

机构：

[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China

[2] Acad Mil Med Sci, Inst Appl Math, Beijing 100190, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2014年 / 12卷 / 06期

关键词：

Compressible fluid; Navier-Stokes equations; rarefaction wave; vacuum; zero dissipation limit; VANISHING VISCOSITY LIMIT; EULER EQUATIONS; BOLTZMANN-EQUATION; OUTFLOW PROBLEM; STABILITY;

D O I：

10.4310/CMS.2014.v12.n6.a6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the zero dissipation limit of the full compressible Navier-Stokes equations to a rarefaction wave which connects to vacuum at one side. It is shown that there exists a family of smooth solutions to the full compressible Navier-Stokes equations converging to the rarefaction wave with vacuum away from the initial layers at a uniform rate as the viscosity and the heat conduction coefficient tend to zero. Our method of proof consists of a scaling argument and elementary energy analysis based on the underlying wave structure.

引用

页码：1135 / 1154

页数：20

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