报告题目:Stabilizing phenomena for Boussinesq systems
工作单位:美国圣母大学
报告时间: 2024-07-19 9:00-12:00
报告地点:永利体育官网登录305
报告摘要:
The Boussinesq equations concerned here model buoyancy-driven fluids such as atmospheric and oceanographic flows and Rayleigh-Benard convection. This talk presents recent results on the stability problem concerning the Boussinesq equations near two physically significant steady-states, the hydrostatic equilibrium and the shear flow. We explain how the buoyancy forcing can actually stabilize perturbations near the hydrostatic equilibrium. We also describe the joint work with Wen Deng and Ping Zhang on the stability of the vertically dissipated Boussinesq system near the shear flow.
报告人简介:
吴家宏教授本科毕业于北京大学,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院士。先后工作于美国普林斯顿高等研究院、美国德州大学奥斯汀分校、美国俄克拉荷马州立大学,现为圣母大学教授。吴家宏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重要贡献,先后在国际一流的学术刊物 (如:CPAM、CMP、ARMA、Adv. Math) 发表学术论文160余篇,科研成果被国际同行引用超过6000次。