Remark on compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data

被引：1

作者：

Zhang, Ting ^{[1
]}

Fang, Daoyuan ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 02期

基金：

中国国家自然科学基金;

关键词：

compressible Navier-Stokes equations; density-dependent viscosity; vacuum; existence; uniqueness;

D O I：

10.1016/j.jmaa.2007.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the free boundary problem for 1 D compressible Navier-Stokes equations with density-dependent viscosity. We focus on the case where the viscosity coefficient vanishes on vacuum. We prove the global existence and uniqueness for discontinuous solutions to the Navier-Stokes equations when the initial density is a bounded variation function, and give a decay result for the density as t -> +infinity. (c) 2007 Elsevier Inc. All rights reserved.

引用

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页码：1413 / 1424

页数：12

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