报告题目：Transition threshold for 3-D Couette flow in a finite channel

报告人：章志飞 教授 （北京大学）

报告时间：2022年1月17日 14:00-15:00

报告方式：腾讯会议线上 ID：411-650-976

邀请人：丛洪滋 教授

报告摘要： The plane Couette flow is linearly stable for any Reynolds number. However, it could become nonlinearly unstable and transit to turbulence for small but finite perturbations at high Reynolds number. This is so-called Sommerfeld paradox. One resolution of this paradox is to study the transition threshold problem proposed by Trefethen et al. (Science 1993), which is concerned with how much disturbance will lead to the instability of the flow and the dependence of disturbance on the Reynolds number. In this talk, I will introduce our recent joint work with Qi Chen and Dongyi Wei, which shows that the transition threshold for 3-D Couette flow is less than one. This result confirms the threshold result obtained by Chapman via an asymptotic analysis (JFM 2002).

报告人简介：章志飞，北京大学数学科学学院博雅特聘教授。他主要从事偏微分方程的理论研究，在流体力学方程的适定性、自由界面问题、液晶模型一致性的数学理论以及流动稳定性等方面取得了一系列重要的研究成果。他已在CPAM, Annales ENS, Memoirs AMS等顶尖数学刊物上发表学术论文100余篇。他2011年入选中组部首批青年拔尖人才支持计划、2014年获国家杰出青年科学基金、2019年入选中组部“万人计划”科技创新领军人才、2022年国际数学家大会邀请报告。