LOCAL WELL-POSEDNESS TO THE CAUCHY PROBLEM OF THE 3-D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY

被引：0

作者：

叶嵎林 ^{[1
]}

窦昌胜 ^{[2
,3
]}

酒全森 ^{[1
]}

机构：

[1] School of Mathematical Sciences,Capital Normal University

[2] LCP,Institute of Applied Physics and Computational Mathematics

[3] School of Statistics,Capital University of Economics and Business

来源：

Acta Mathematica Scientia | 2014年 / 34卷 / 03期

基金：

中国博士后科学基金;

关键词：

Existence and uniqueness; classical solution; compressible Navier-Stokes equations; density-dependent viscosity; vacuum;

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：

In this article, we prove the local existence and uniqueness of the classical solution to the Cauchy problem of the 3-D compressible Navier-Stokes equations with large initial data and vacuum, if the shear viscosity μ is a positive constant and the bulk viscosity λ(ρ) = ρβwith β≥ 0. Note that the initial data can be arbitrarily large to contain vacuum states.

引用

页码：851 / 871

页数：21

共 28 条

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