THE EXISTENCE OF LOCAL SOLUTIONS FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH THE DENSITY-DEPENDENT VISCOSITIES

被引：5

作者：

Zhang, Peixin ^{[1
,2
]}

Zhao, Junning ^{[3
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

[2] Xiamen Univ, Sch Math, Xiamen 361005, Peoples R China

[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2014年 / 12卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Compressible Navier-Stokes equations; density-dependent viscosities; classical solution; DISCONTINUOUS INITIAL DATA; GLOBAL-SOLUTIONS; VISCOUS FLUIDS; CLASSICAL-SOLUTIONS; WEAK SOLUTIONS; VACUUM; COEFFICIENT; BEHAVIOR; STATE; 1D;

D O I：

10.4310/CMS.2014.v12.n7.a6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the isentropic compressible Navier-Stokes equations with density-dependent viscosities. We prove the local existence of the classical solutions, where the initial density is allowed to vanish.

引用

页码：1277 / 1302

页数：26

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