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)

题  目：Noncollision singularities in Newtonian four-body problem

时  间：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室)

地  点：数学院南楼N913室

注：该讲座茶点受到中链科技有限公司的资助

摘  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.