A Remark on the Cauchy Problem of 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefcients

被引：0

作者：

Jin-tao WEI ^{[1
]}

Lin HE ^{[2
]}

Zhen-hua GUO ^{[2
]}

机构：

[1] Department of College Mathematics Teaching,Longqiao College of Lanzhou Commercial College

[2] CNS and Department of Mathematics,Northwest University

来源：

Acta Mathematicae Applicatae Sinica | 2014年 / 01期

基金：

中国国家自然科学基金;

关键词：

Cauchy problem; compressible flows; density-dependent viscosity Coefcients;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cauchy problems of one-dimensional compressible Navier-Stokes equations with density-dependent viscosity coefcients.By assumingρ0∈L1(R),we will prove the existence of weak solutions to the Cauchy problems forθ>0.This will improve results in Jiu and Xin’s paper(Kinet.Relat.Models,1(2):313–330(2008))in whichθ>12is required.In addition,We will study the large time asymptotic behavior of such weak solutions.

引用

页码：193 / 204

页数：12

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