Journal of Applied Mathematics

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

Ruxu Lian, Lan Huang, and Jian Liu

Full-text: Open access

Abstract

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 + .

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 395209, 22 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495192

Digital Object Identifier
doi:10.1155/2012/395209

Mathematical Reviews number (MathSciNet)
MR2948119

Zentralblatt MATH identifier
1251.76010

Citation

Lian, Ruxu; Huang, Lan; Liu, Jian. Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity. J. Appl. Math. 2012 (2012), Article ID 395209, 22 pages. doi:10.1155/2012/395209. https://projecteuclid.org/euclid.jam/1355495192


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