报告人：李焕元（郑州大学）

邀请人：雷远杰

报告时间：2022年7月13日 （星期三）14: 30-16:00  

报告地点：腾讯会议：736-682-488

报告题目：Weak Serrin-type blow-up criterion and global strong solution of nonhomogeneous incompressible micropolar fluid equations with vacuum

报告摘要：This talk is concerned with a Cauchy problem for the three-dimensional (3D) nonhomogeneous incompressible micropolar fluid equations  in the whole space. We first establish a weak Serrin-type blowup criterion for the strong solutions. It is shown that for the Cauchy problem of the 3D nonhomogeneous micropolar equations, the strong solution exists globally if the velocity satisfies the weak Serrin's condition. In particular, this criterion is independent of the micro-rotational velocity. Then as an immediate application, we prove that the Cauchy problem of micropolar fluid equations has a unique global strong solution, provided that the kinematic viscosity is sufficiently large, or the upper bound of initial density or initial kinetic energy is small enough.