Academic Activity

Noncollision singularities in Newtonian four-body problem

发布时间:2019-01-04

中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

 

综合报告会

Colloquium

 

报告人: 薛金鑫 副教授  (清华大学)

 目:Noncollision singularities in Newtonian four-body problem

  2019.01.11(星期五) , 16:30-17:30(16:00-16:30为茶点时间, 地点: 数学院南楼N920)

  点:数学院南楼N913

 要:

Noncollision singularities (NCS) in Newtonian N-body problems is a kind of initial conditions leading to solutions which blows up to infinity within finite time. Its existence was conjecture by Painleve in 1897 for N>3.

 

Xia proved this conjecture by giving a model of N=5. The hardest case N=4 remains open since then. In this talk, we explain the general mechanism guaranteeing the existence of NCS and show the existence of NCS in Newtonian four-body problem in two different models.  

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