学术报告 报告题目：Global well-posedness and large-time decay for the 2D micropolar flows
报 告 人：董柏青 教授 （深圳大学）
报告时间：2017年06月14日（星期三）上午10:30-11:30
报告地点：4号楼4318室
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数学学院
2017年06月12日
报告摘要：
In this talk, we will investigate the global (in time) regularity and large time behavior of solutions to the 2D micropolar flows with only angular viscosity dissipation. Micropolar flows model a class of fluids with nonsymmetric stress tensor such as fluids consisting of particles suspended in a viscous medium.When there is no kinematic viscosity in the momentum equation,the global regularity problem is not easy due to the lack of suitable bounds on the derivatives.The idea here is to fully exploit the structure of the system and control the vorticity via the evolution equation of a combined quantity of the vorticity and the micro-rotation angular velocity. To understand the large time behavior, we overcome two main difficulties,the lack of kinematic viscosity and the presence of linear terms. We introduce a diagonalization process to eliminate the linear terms and rely on the uniform bounds for the first derivatives of the solutions to generate suitable decay rates.