## Abstract and Applied Analysis

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

#### 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 $t\to +\infty$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 132324, 12 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412279775

Digital Object Identifier
doi:10.1155/2014/132324

Mathematical Reviews number (MathSciNet)
MR3208516

Zentralblatt MATH identifier
1294.35067

#### Citation

Lian, Ruxu; Yang, Jianwei; Liu, Jian. Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 132324, 12 pages. doi:10.1155/2014/132324. https://projecteuclid.org/euclid.aaa/1412279775

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