ICM邀请报告——Hydrodynamic stability at high Reynolds number and Transition threshold problem
报告人：Zhifei Zhang (Peking University)
地点：Room 1560, Sciences Building No. 1
Abstract: The hydrodynamic stability theory is mainly concerned with how the laminar flows become unstable and transit to turbulence at high Reynolds number. To shed some light on the transition mechanism, Trefethen et al. [Science 261(1993)] proposed the transition threshold problem. Many physical effects such as 3-D lift-up, inviscid damping, enhanced dissipation and boundary layer, play a crucial role in determining the transition threshold. In this talk, I will survey some important progress on linear inviscid damping and enhanced dissipation for shear flows. I will outline key ideas and main ingredients in our proof of transition threshold for 3-D Couette flow in a finite channel.