Global strong solution for a three-dimensional viscous liquid-gas two-phase flow model with vacuum

被引：42
|
作者：
Guo, Zhenhua [1 ]
Yang, Jing [1 ]
Yao, Lei [1 ]
机构：
[1] Northwest Univ, Dept Math, Xian 710127, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 09期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
initial value problems; partial differential equations; two-phase flow; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; COMPRESSIBLE FLOW; EXISTENCE;
D O I：
10.1063/1.3638039
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is concerned with the Cauchy problem of the 3D viscous liquid-gas two-phase flow model, where the initial vacuum is allowed. The existence of the global strong solution is proved when the energy of the initial data is small enough. (C) 2011 American Institute of Physics. [doi:10.1063/1.3638039]
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