Zero Dissipation Limit to Rarefaction Waves for the 1-D Compressible Navier-Stokes Equations

被引：0

作者：

Feimin HUANG 1 Xing LI 11 Academy of Mathematics and System Sciences

机构：

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 equationsKeywords Compressible Navier-Stokes equations; Compressible Euler equations;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

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 ε 1/4 | ln ε|.In this paper,Xin’s convergence rate is improved to ε1/3|lnε|2 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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