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arXiv · 1503.06695

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

Jian Liu
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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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Jian Liu. 2015-03-23. Local existence of solution to free boundary value problem for compressible Navier-Stokes equations. https://arxiv.org/abs/1503.06695

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