BLOWUP CRITERION FOR THE COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL IN 3D WITH VACUUM

被引：0
|
作者：
丁时进 [1 ]
黄炳远 [2 ]
卢友波 [1 ]
机构：
[1] School of Mathematical Sciences, South China Normal University
[2] College of Mathematics and Statistics, Hanshan Normal University
来源：
Acta Mathematica Scientia | 2016年 / 04期
基金：
中国国家自然科学基金;
关键词：
Blowup criterion; compressible fluid-particle interaction model; vacuum;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程]; O35 [流体力学];
学科分类号：
070104 ; 080103 ; 080704 ;
摘要：
In this article, we consider the blowup criterion for the local strong solution to the compressible fluid-particle interaction model in dimension three with vacuum. We establish a BKM type criterion for possible breakdown of such solutions at critical time in terms of both the L~∞(0, T; L~6)-norm of the density of particles and the L~1(0, T; L~∞)-norm of the deformation tensor of velocity gradient.
引用
收藏
页码：1030 / 1048
页数：19
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