INTERFACE BEHAVIOR OF COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS AND VACUM

被引：0
|
作者：
郭真华 [1 ]
贺文 [1 ]
机构：
[1] Center for Nonlinear Studies and Department of Mathematics Northwest University
来源：
Acta Mathematica Scientia | 2011年 / 31卷 / 03期
关键词：
interface; Navier-Stokes equations; vacuum;
D O I：
暂无
中图分类号：
O175.8 [边值问题];
学科分类号：
摘要：
In this paper,we study a one-dimensional motion of viscous gas near vacuum. We are interested in the case that the gas is in contact with the vacuum at a finite interval. This is a free boundary problem for the one-dimensional isentropic Navier-Stokes equations, and the free boundaries are the interfaces separating the gas from vacuum,across which the density changes discontinuosly.Smoothness of the solutions and the uniqueness of the weak solutions are also discussed.The present paper extends results in Luo-Xin-Yang[12] to the jump boundary conditions case.
引用
收藏
页码：934 / 952
页数：19
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