题目：Mathematical Analysis of Hydrodynamic Stability at High Reynolds Number

报告人：章志飞 教授（北京大学）

摘要：Since Reynolds' seminal experiment in 1883, hydrodynamic stability has remained a central theme in fluid mechanics, particularly concerning the transition from laminar to turbulent flow. While eigenvalue analysis indicates that plane Couette flow and pipe Poiseuille flow remain linearly stable at all Reynolds numbers, experiments reveal that finite-amplitude perturbations can trigger turbulence at high Reynolds numbers—a phenomenon known as the subcritical transition. The physical mechanism of subcritical transition has been a longstanding problem in the field. In this talk, we present recent advances in understanding the transition mechanism through the mathematical analysis.

报告人简介：章志飞, 北京大学3003新葡官方网站博雅特聘教授。章志飞教授的研究专注于偏微分方程的理论领域，尤其在流体动力学方程的适定性理论、液晶的数学理论以及流动稳定性与边界层的数学理论等方面取得了卓越成果。他已在 Inven Math, Forum Math Pi, CPAM, Annales ENS, Mem AMS, JEMS, PLMS等顶尖数学刊物上发表学术论文 150 余篇。2014 年获国家杰出青年科学基金，2017 年入选国家级高层次人才计划，2022 年受邀在国际数学家大会做 45 分钟报告，2024年获得陈省身数学奖。

报告时间：2025年7月21日（星期一） 14：30-15：30

报告地点：教二楼221

联系人：酒全森