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

作　　者：Feimin HUANG Xing LI 

机构地区：[1]Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Chinese Annals of Mathematics,Series B》2012年第3期385-394,共10页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China for Outstanding Young Scholars(No. 10825102);the National Basic Research Program of China (973 Program) (No. 2011CB808002)

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.

关 键 词：Compressible Navier-Stokes equations Rarefaction wave CompressibleEuler equations 

分 类 号：O175.8[理学—数学] O175.27[理学—基础数学]