Zero dissipation limit to rarefaction waves for the 1-D compressible Navier-Stokes equations

被引：10

作者：

Huang, Feimin ^{[1
]}

Li, Xing ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2012年 / 33卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Compressible Navier-Stokes equations; Rarefaction wave; Compressible Euler equations;

D O I：

10.1007/s11401-012-0712-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The zero dissipation limit for the one-dimensional Navier-Stokes equations of compressible, isentropic gases in the case that the corresponding Euler equations have rarefaction wave solutions is investigated in this paper. In a paper (Comm. Pure Appl. Math., 46, 1993, 621-665) by Z. P. Xin, the author constructed a sequence of solutions to one-dimensional Navier-Stokes isentropic equations converging to the rarefaction wave as the viscosity tends to zero. Furthermore, he obtained that the convergence rate is . In this paper, Xin's convergence rate is improved to by different scaling arguments. The new scaling has various applications in related problems.

引用

页码：385 / 394

页数：10

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