Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data

被引：2

作者：

Zhang PeiXin ^{[1
,2
]}

Zhao JunNing ^{[1
]}

机构：

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

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

来源：

SCIENCE CHINA-MATHEMATICS | 2014年 / 57卷 / 07期

基金：

中国国家自然科学基金;

关键词：

compressible Navier-Stokes equations; general initial data; global classical solutions; VISCOUS FLUIDS;

D O I：

10.1007/s11425-013-4717-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the global existence and uniqueness of classical solutions to the Cauchy problem for 3D isentropic compressible Navier-Stokes equations with general initial data which could contain vacuum. We give the relation between the viscosity coefficients and the initial energy, which implies that the Cauchy problem under consideration has a global classical solution.

引用

页码：1463 / 1478

页数：16

共 17 条

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