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.