报告人：余国巍
报告地点：腾讯会议ID:663 393 078
报告时间：2021年11月1日星期一13:30-14:30
邀请人：李勇、冀书关、常小军
报告摘要：
In the Newtonian n-body problem, the hyperbolic solutions are those all mutual distances between the masses tend to infinity with nonzero speed as time goes to negative or positive infinity. By using a variation of the McGehee coordinates, we show these solutions form the stable or unstable manifolds of some equilibria at infinity. This allows us to give a new proof of Chazy's classical asymptotic formulas for these solutions.
In the second part of the talk we will consider bi-hyperbolic solutions, which means solutions that are hyperbolic in both forward and backward time. We will discuss the possible pairs of equilibria at infinity that are connected by a given bi-hyperbolic solution. This is a joint work with Duignan, Moeckel and Montgomery.
会议密码:211101
主讲人简介：
余国巍，南开大学陈省身数学研究所特聘研究员，国家级青年人才项目入选者。2013年在美国明尼苏达大学获得基础数学博士学位，2013-2018年分别在加拿大多伦多大学、法国巴黎九大/巴黎天文台、意大利都灵大学、美国数学科学研究所（MSRI）做博士后工作。研究方向为动力系统，天体力学和变分法。论文发表在相关领域的权威期刊如Archive for Rational Mechanics and Analysis，Communication in Mathematical Physics，Ann. Inst. H. Poincaré Anal. Non Linéaire，Calc. Var. Partial Differential Equations，Ergodic Theory and Dynamical Systems等。
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