Existence of hyperbolic motions for Newtonian and generalized N-body problem

发布时间：2023-03-14 作者：浏览次数：

Speaker:	严夺魁	DateTime:	3月17日下午2：00-3：00
Brief Introduction to Speaker: 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。		Place:	六号楼2楼报告厅
Abstract: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.