Coherent structures in geophysical flows, from observation to theory.
数学专题报告
报告题目(Title)：Coherent structures in geophysical flows, from observation to theory.
报告人(Speaker)：Taoufik Hmidi 副教授 (Université de Rennes 1, France)
地点(Place)：Zoom 会议 ID：868 676 25077, 密码：123456,
时间(Time)：2022 年 05 月 27 日（周五） 17:00--18:30
邀请人(Inviter)：薛留堂
报告摘要
In this talk I will discuss the emergence of large scale long-lived ordered structures in two-dimensional turbulent flows with high Reynolds number. Their formation is connected to the vortex merging through a long range potential leading to a cluster of large scale vortices. There is abundant literature devoted to the explanation of this phenomenon using statistical mechanics. In my presentation, I will analyze another approach directly based on the deterministic PDE model and show the existence of a large family of coherent structures using different analytical tools. The first class can be constructed by a desingularization of the relative equilibria in the point vortex system. The second one is generated by bifurcation from stationary radial shapes. However, the last family deals with time quasi-periodic solutions whose construction is more involved and related to KAM theory in infinite dimensional spaces.
主讲人简介
Taoufik Hmidi现为法国雷恩第一大学的副教授. 他在流体力学方程的数学理论方面做了一系列深入的工作, 最近的研究兴趣聚焦在地球物理流的涡动力学及相对平衡态的涌现等, 已在CPAM, ARMA, CMP, Adv. Math.等重要期刊上发表论文50余篇.
