[Mini Courses] Stability of Hamiltonian systems: from finite dimension to fluid models
时间  Datetime
2024-05-08 14:30 — 17:45
地点  Venue
教室(630)
报告人  Speaker
Zhiwu Lin
单位  Affiliation
Georgia Institute of Technology
邀请人  Host
上海市现代分析前沿科学基地(CMA)
备注  remarks
报告摘要  Abstract

I will discuss some recent results of using Hamiltonian theory to understand some stability problems in fluid models. We will first introduce the basic results in finite dimensional Hamiltonian systems and then describe the generalization to infinite-dimensional cases. We will use two examples to show the application of the general theory. One is the baratropic stability of shear flows in geophysical fluids. The other one is about the turning point principle in the stability of nonrotating and rotaing gaseous stars.
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FROM 202.120.11.*