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

Ruxu Lian, Jianwei Yang and Jian Liu

Abstract and Applied Analysis, 2014, vol. 2014, 1-12

Abstract:

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 .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:132324

DOI: 10.1155/2014/132324

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