时间

具体安排

14:00-14:50

报告人：潜陈印 教授（浙江师范大学）

题目：3D Navier-Stokes and MHD equations: Regularity Criteria and Global well-posedness

摘要：In this talk, we introduce some regularity criteria for weak solutions of the Navier-Stokes and MHD equations, and then investigate the global well-posedness of the Navier-Stokes system from the perspective of regularity criteria. The aim of this paper is to explor enew classes of large initial data for the 3D Navier-Stokes and MHD system.

14:50-15:40

报告人：刘继涛 教授（北京工业大学）

题目：Asymptotic stability for n-dimensional magnetohydrodynamic equations

摘要：This talk is concerned with the stability theory of n-dimensional incompressible and compressible magnetohydrodynamic (MHD for short) equations with only kinematic viscosity or magnetic diffusion in the periodic domain T^n . I will present some new results on the asymptotic stability and sharp decay estimates of this system when the magnetic field close to an equilibrium state satisfying the Diophantine condition. In the present works, by exploiting and effectively utilizing the structure of perturbation system, a new dissipative mechanism is found out and applied so that we can sharply improve the spaces of existing works, where the decay estimates and asymptotic stability of solutions are taking place. Some key ideas of our method will be discussed. This talk is based on joint works with Quansen Jiu and Yaowei Xie.