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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

Wenjun Wang 1, and  Lei Yao 2,

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

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