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.
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)
