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

Ruxu Lian, Lan Huang and Jian Liu

Journal of Applied Mathematics, 2012, vol. 2012, 1-22

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 → + ∞ .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:395209

DOI: 10.1155/2012/395209

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