On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics
报告题目(Title):On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics
报告人(Speaker):徐丽(北京航空航天大学,副教授)
地点(Place):腾讯会议 201 480 490
时间(Time):12月4日(周五),11:00-12:00
邀请人(Inviter):刘彦麟
报告摘要
In this talk, I will first give a short introduction and survey on MHD. Then I will talk about my recent work on the ideal MHD subjected to a strong magnetic field along $x-1$ direction in three-dimensional (3D) thin domain with slip boundary conditions. The main results include the global well-posedness and the asymptotics of MHD from the thin domain to the plane when the thickness of the domain goes to zero. The proofs of main results rely on the design of the proper energy functional and the null structures of the nonlinear terms.