GLOBAL SOLUTIONS TO 3D ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

被引：0
|
作者：
Kong, Huihui [1 ]
Li, Hai-Liang [1 ]
Liang, Chuangchuang [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
来源：
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2015年 / 10卷 / 04期
关键词：
Compressible Navier-Stokes equations; free boundary; spherically symmetric; global existence; expanding rate;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the free boundary value problem of 3D isentropic compressible Navier-Stokes equations with the stress free boundary condition where the compressible viscous flow of finite mass expands into infinite vacuum. The density changes continuously (or discontinuously) across the interfaces separating the fluid and vacuum. For the spherically symmetric initial data with finite energy, we prove the global existence of spherically symmetric weak solutions. Furthermore, we investigate the expanding rate of the domain occupied by the fluid.
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页码：575 / 613
页数：39
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