Stability of monotone shear flows
数学专题报告
报告题目(Title)：Stability of monotone shear flows
报告人(Speaker)：李徽 (四川大学)
地点(Place)：腾讯会议号：550 866 369, 密码：123456
时间(Time)：2025 年 06 月 18 日（周三） 15:00--16:00
邀请人(Inviter)：薛留堂
报告摘要
In this talk, we present two results concerning the stability of monotone shear flows in the two-dimensional incompressible Navier-Stokes equations. In the first result, assuming that the shear flow remains spectrally stable for all time, we establish a nonlinear asymptotic stability result. In the second result, we demonstrate that this spectral assumption is indeed necessary for asymptotic stability: we construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state due to the influence of viscous dissipation. These results are based on joint works with Weiren Zhao.
