Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity

被引：2

作者：

Lian, Ruxu ^{[1
]}

Huang, Lan ^{[1
]}

Liu, Jian ^{[2
]}

机构：

[1] N China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450011, Peoples R China

[2] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

SHALLOW-WATER MODEL; VACUUM; COEFFICIENT; DERIVATION; EXISTENCE;

D O I：

10.1155/2012/395209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the exterior problem and the initial boundary value problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficient in this paper. For regular initial density, we show that there exists a unique global strong solution to the exterior problem or the initial boundary value problem, respectively. In particular, the strong solution tends to the equilibrium state as t -> +infinity.

引用

页数：22

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