报告题目：Periodic Solutions of 2D Point Vortex Hamiltonian Systems

主 讲 人：戴 芊 慧

单 位：中国石油大学

时 间：9月25日10:00

腾 讯 ID：689 457 146

摘 要：

The motion of N point vortices in a planar domain is described by a first order singular Hamiltonian system, which also appears as a limit for the dynamics of vortices in the Euler equations and in the Ginzburg-Laudau-Schrodinger equation. We present some results on the existence of periodic solutions, including periodic solutions around a single point and those near the domain boundary.

简 介：

戴芊慧，2014年博士毕业于德国University of Giessen数学所，现为中国石油大学（北京）理学院副教授，硕士生导师。研究领域及兴趣：哈密顿系统周期解；变分方法及其应用；非线性泛函分析理论及其应用。主持国家青年、天元项目基金各一项。

代表论文：

[1]T.Bartsch,Q.Dai,B.Gebhard: Periodic solutions of N-vortex type Hamiltonian systems near the domain boundary, Siam JAM, 2018, 78(2): 977-995.

[2]T.Bartsch,Q.Dai：Periodic solutions of the N-vortex Hamiltonian system in planar domains, Journal of Differential Equations, 2016, 260(3): 2275-2295.