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.
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页码：385 / 394
页数：10
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