题目：A Universal Stabilizing Phenomenon in Fluid Systems

报告人：吴家宏 教授（University of Notre Dame）

摘要：The magnetic field stabilizes and damps electrically conducting fluids, a phenomenon observed in many physical experiments and numerical simulations. The temperature tames and stabilizes buoyancy driven fluids and helps the formation of stable structures in turbulent Rayleigh-Benard convection. These are just two examples of a universal stabilizing phenomenon in fluid dynamics. There is a rigorous mathematical mechanism behind this stabilizing phenomenon.  In magnetohydrodynamics (MHD), the interaction between fluid velocity and the magnetic field near a background state gives rise to a damped wave equation, which reveals the smoothing and stabilizing effects. In the Boussinesq system modeling buoyancy-driven fluids, the interaction between velocity and temperature near hydrostatic balance also leads to a wave equation. Such wave structures appear in many fluid stability problems. This talk presents several stability results that derive and make use of the underlying wave structures.

报告人简介：吴家宏，美国圣母大学教授，1988年本科毕业于北京大学3003新葡官方网站，1996年在美国芝加哥大学获得博士学位，师从世界著名数学家Peter Constantin教授。长期致力于非线性流体动力学方程的理论研究，在Navier-Stokes方程、准地转方程、Boussinesq方程和MHD方程等数学前沿问题的研究上做出了一系列重要贡献，在国际一流的学术刊I物CPAM、CMP、ARMA、Adv.Math、Math.Ann.、JFA、SIAM、AIHP、CPDE、JDE等发表学术论文180余篇。论文被国际同行引用超过6000次。

报告时间：2025年7月23日（星期三） 15：00-16：00

报告地点：教二楼221

联系人：酒全森