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

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  • Ruxu Lian
  • Jianwei Yang
  • Jian Liu

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 .

Suggested Citation

  • Ruxu Lian & Jianwei Yang & Jian Liu, 2014. "Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, May.
    • Handle: RePEc:hin:jnlaaa:132324
    DOI: 10.1155/2014/132324
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