Spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients and vacuum

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March 2010, 9(2): 459-481. doi: 10.3934/cpaa.2010.9.459

Spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients and vacuum

1.	Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China
2.	Department of Mathematics, Central China Normal University, Wuhan 430079, China

Received February 2009 Revised September 2009 Published December 2009

Abstract
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This paper is concerned with the free boundary problem for the spherically symmetric compressible Navier-Stokes equations with degenerate viscosity coefficients and vacuum. A local (in time) existence result is established.

Keywords: free boundary., existence, Compressible Navier-Stokes equations, a local weak solution, vacuum, a priori estimates.

Mathematics Subject Classification: Primary: 35Q30; Secondary: 35R35, 76N1.

Citation: Wenjun Wang, Lei Yao. Spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients and vacuum. Communications on Pure & Applied Analysis, 2010, 9 (2) : 459-481. doi: 10.3934/cpaa.2010.9.459

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