题目：Towards understanding the transition mechanism of laminar flows
报告人：章志飞（北京大学）
摘要：The hydrodynamics stability has been a main theme in the fluid mechanics since Reynolds's famous experiment in 1883. This field is mainly concerned with the transition of fluid motion from laminar to turbulent flow. On one hand, the eigenvalue analysis showed that the plane Couette flow and pipe Poiseuille flow are linearly stable for any Reynolds number. On the other hand, the experiments showed that these flows could be unstable and transit to turbulence for small but finite perturbations at high Reynolds number. This is so-called Sommerfeld paradoxes. The resolution of these paradoxes is a long-standing problem in the fluid mechanics. In this talk, we introduce some recent progress towards understanding the transition mechanism by two means: pseudospectra and transition threshold problem.
时间：2024年7月6日（周六）9:30-10:30
地点：正心楼31
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，在流体动力学方程的定性理论、液晶的数学理论、流动稳定性与边界层的数学理论等方面取得了一系列有重要国际影响力的研究成果。他已在Invent Math, CPAM, Memoirs AMS, Annales ENS等顶尖数学刊物上发表论文140余篇。他2014年获国家杰出青年科学基金、多次入选国家高层次人才计划、2022年国际数学家大会45分钟邀请报告。
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