Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data

被引：0

作者：

Lian, Ruxu ^{[1
,2
]}

Yang, Jianwei ^{[1
]}

Liu, Jian ^{[3
]}

机构：

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

[2] Chinese Acad Sci, Inst Atmospher Phys, Beijing 100029, Peoples R China

[3] Quzhou Univ, Coll Teacher Educ, Quzhou 324000, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国博士后科学基金;

关键词：

MULTIDIMENSIONAL FLOWS; CAUCHY-PROBLEM; SHALLOW-WATER; VACUUM; 1D; COEFFICIENTS; DERIVATION; FLUIDS;

D O I：

10.1155/2014/132324

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial boundary value problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficients and discontinuous initial data in this paper. For piecewise regular initial density with bounded jump discontinuity, we show that there exists a unique global piecewise regular solution. In particular, the jump of density decays exponentially in time and the piecewise regular solution tends to the equilibrium state exponentially as t -> +infinity.

引用

页数：12

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