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Noncollision singularities in Newtonian four-body problem
时间  Datetime
2018-12-10 10:00 — 11:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
薛金鑫
单位  Affiliation
清华大学
邀请人  Host
张祥
报告摘要  Abstract

It was conjectured by Painleve in 1897 that there exists noncollision singularities (NCS) in Newtonian N-body problem for N>3. NCS is a kind of initial conditions leading to solutions blowing up to infinity in finite time. Xia proved the conjecture by showing the existence of NCS in a five-body problem. It remained open if NCS exists in four-body problem or not. We will explain our work on the existence of NCS of four-body problem in two different models.