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Mathematics  2015 

Local existence of solution to free boundary value problem for compressible Navier-Stokes equations

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Abstract:

This paper is concerned with the free boundary value problem for multi-dimensional Navier-Stokes equations with density-dependent viscosity where the flow density vanishes continuously across the free boundary. A local (in time) existence of weak solution is established, in particular, the density is positive and the solution is regular away from the free boundary.

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