题目:Existence of hyperbolic motions for Newtonian and generalized N-body problem
时间:2023年3月17日(周五)8:00-10:00
地点:数学与统计楼213会议室
报告人:严夺魁 教授 北京航空航天大学
摘要:For the classical N-body problem, Maderna-Venturelli [Ann. Math. 2020] proved the existence of hyperbolic motions with any positive energy constant, starting from any configuration and along any noncollision configuration. Their original proof relies on the long time behavior of solutions by Chazy 1922 and Marchal-Saari 1976, on the Holder estimate for Mane's potential by Maderna 2012, and on the weak KAM theory. In this talk, we give a new and completely different proof for the above existence of hyperbolic motions.
报告人简介:
严夺魁,本科毕业于南开大学,博士毕业于美国杨百翰大学,现任北京航空航天大学数学科学学院教授。主要研究方向为动力系统,变分法和天体力学,在 CVPDE, Nonlinearity, JDE等期刊上发表多篇论文。