Global Well-Posedness of Classical Solutions with Large Initial Data to the Two-Dimensional Isentropic Compressible Navier-Stokes Equations

被引：1

作者：

Zhang Peixinl ^{[1
,2
]}

Deng Xuemei ^{[2
]}

Zhao Junning ^{[2
]}

机构：

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

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

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 27卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Isentropic compressible Navier-Stokes equations; large viscosity coefficient; global classical solutions;

D O I：

10.4208/jpde.v27.n2.5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data under the assumption that the viscosity coefficient mu is large enough. Here we do not require that the initial data is small.

引用

页码：143 / 157

页数：15

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