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

作　　者：丁时进 黄炳远 卢友波 

机构地区：[1]School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China [2]College of Mathematics and Statistics,Hanshan Normal University,Chaozhou 521041,China

出　　处：《Acta Mathematica Scientia》2016年第4期1030-1048,共19页数学物理学报（B辑英文版）

基　　金：supported by the National Basic Research Program of China(973 Program)(2011CB808002);the National Natural Science Foundation of China(11371152,11128102,11071086,and 11571117);the Natural Science Foundation of Guangdong Province(S2012010010408);the Foundation for Distinguished Young Talents in Higher Education of Guangdong(2015KQNCX095);the Major Foundation of Hanshan Normal University(LZ201403);the Scientific Research Foundation of Graduate School of South China Normal University(2014ssxm04)

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 ^L1（0, T; L^∞）-norm of the deformation tensor of velocity gradient.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 ^L1（0, T; L^∞）-norm of the deformation tensor of velocity gradient.

关 键 词：Blowup criterion compressible fluid-particle interaction model VACUUM 

分 类 号：O175[理学—数学] O35[理学—基础数学]