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, issue 1

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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https://doi.org/10.1155/2012/395209

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:395209

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