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

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

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...

Full description

Bibliographic Details
Main Authors: Ruxu Lian, Lan Huang, Jian Liu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/395209
id doaj-553284ee00e743918d3b2bd73f96517f
record_format Article
spelling doaj-553284ee00e743918d3b2bd73f96517f2020-11-24T22:55:11ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/395209395209Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent ViscosityRuxu Lian0Lan Huang1Jian Liu2College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaCollege of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaDepartment of Mathematics, Capital Normal University, Beijing 100048, ChinaWe 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→+∞.http://dx.doi.org/10.1155/2012/395209
collection DOAJ
language English
format Article
sources DOAJ
author Ruxu Lian
Lan Huang
Jian Liu
spellingShingle Ruxu Lian
Lan Huang
Jian Liu
Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
Journal of Applied Mathematics
author_facet Ruxu Lian
Lan Huang
Jian Liu
author_sort Ruxu Lian
title Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
title_short Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
title_full Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
title_fullStr Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
title_full_unstemmed Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
title_sort global solutions to the spherically symmetric compressible navier-stokes equations with density-dependent viscosity
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description 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→+∞.
url http://dx.doi.org/10.1155/2012/395209
work_keys_str_mv AT ruxulian globalsolutionstothesphericallysymmetriccompressiblenavierstokesequationswithdensitydependentviscosity
AT lanhuang globalsolutionstothesphericallysymmetriccompressiblenavierstokesequationswithdensitydependentviscosity
AT jianliu globalsolutionstothesphericallysymmetriccompressiblenavierstokesequationswithdensitydependentviscosity
_version_ 1725657563930820608

Similar Items