Local existence of solution to free boundary value problem for compressible Navier-Stokes equations
Analysis of PDEs
2015-03-24 v1
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.
Keywords
Cite
@article{arxiv.1503.06695,
title = {Local existence of solution to free boundary value problem for compressible Navier-Stokes equations},
author = {Jian Liu},
journal= {arXiv preprint arXiv:1503.06695},
year = {2015}
}
Comments
Acta Mathematica Scientia 2012