Compressible Navier-Stokes equations with zero heat conductivity

被引：44

作者：

Liu, TP ^{[1
]}

Zeng, YN

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] Univ Alabama, Dept Math, Birmingham, AL 35294 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 153卷 / 02期

基金：

美国国家科学基金会;

关键词：

compressible Navier-Stokes equations; composite type;

D O I：

10.1006/jdeq.1998.3554

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the large-time behavior of solutions of the compressible Navier-Stokes equations without heat conductivity. Acoustic waves are dissipative due to the viscosity. Entropy waves are nondissipative due to lack of heat conductivity. Thus the system is of composite type, the simplest prototype of this class of nonlinear partial differential equations. We study the nonlinear interactions of waves using a combination of energy method, weighted energy method, and pointwise estimates. (C) 1999 Academic Press.

引用

页码：225 / 291

页数：67

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