时间：2018年4月4日（周三）8：20-10：00
地点：旗山校区笃行1-311
主讲：北京航空航天大学数学与系统科学学院数学系 严夺魁副教授
主办：物理与能源学院、福建省量子调控与新能源材料重点实验室、福建省太阳能转换与储能工程技术研究中心
专家简介：严夺魁，北京航空航天大学数学与系统科学学院数学系副教授，学科专业为动力系统，N体问题，变分方法，指标理论。
报告摘要：In 2000, Chenciner and Montgomery proved the existence of the figure-eight solution in the planar three-body problem with equal masses by using the variational method. Since then, a number of new periodic solutions have been discovered and proven to exist. A workshop on Variational Methods in Celestial Mechanics was organized by Chenciner and Montgomery in 2003 to address the possible applications of variational method in studying the Newtonian N-body problem, while several open problems were proposed by the attending experts. The existence of the Broucke-Henon orbit is one of these open problems, which was proposed by Venturelli. Actually, he noticed that the Schubart orbit with collision is on the closure of the homology class (1, 0, 1). It is not clear if the Broucke-Henon orbit is a minimizer in the homology class (1, 0, 1).By introducing a new geometric argument, we show that under an appropriate topological constraint, the action minimizer must be either the Schubart orbit or the Broucke-Henon orbit. Our geometric argument can be applied to many orbits in the three-body and four-body problem. This is a joint work with Wentian Kuang and Rongchang Liu.