报告题目 (Title)：Linear spectral instability of Hartmann layer via the Tollmien-Schlichting wave (通过Tollmien-Schlichting波研究Hartmann层的线性谱不稳定性)
报告人 (Speaker)： 刘成杰 副教授（上海交通大学）
报告时间 (Time)：2021年12月24日(周五) 19:00
报告地点 (Place)：腾讯会议会议号：867751141
邀请人(Inviter)：厚晓凤
主办部门：理学院数学系
报告摘要：In this talk, I will show the instability induced by the Tollmien-Schlichting wave governed by the MHD system in the Prandtl-Hartmann regime. The interaction of the inviscid mode and viscous mode that leads to the instability is analyzed by the introduction of a new decomposition of the Orr-Sommerfeld operator on the velocity and magnetic fields. The critical Gevrey index for the instability is justified by constructing the growing mode in the essential frequency and it is shown to be the same as the incompressible Navier-Stokes equations in the Prandtl regime. This result justifies rigorously the physical understanding that the transverse magnetic field to the boundary in the Prandtl-Hartmann regime has no extra stabilizing effect on the Tollmien-Schlichting wave. This is a joint work with Prof. Tong Yang and Dr. Zhu Zhang.
