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理学院2017-2018学年春季第十三周学术报告(四)

发布时间:2018-05-31

学 术 报 告

 

报告题目:Variational method with SPBC and Periodic Solutions in the N-body Problem

 

报告学者:Zhifu Xie

 

报告者单位The University of Southern Mississippi

 

报告时间2018年6月1(周五)上午9:00-11:00

 

报告地点逸夫东708

 

摘要:N-body problem concerns the motion of celestial bodies under universal gravitational attraction. Although it has been a long history to apply variational method to N-body problem, it is relatively new to make some important progress in the study of periodic solutions. We develop the Variational Method with Structural Prescribed Boundary Conditions (SPBC) and we apply it to study periodic solutions in the N-body problem. In this talk, we show that under an appropriate topological constraint, the action minimizer must be either the Schubart orbit (1956) or the Broucke-Henon orbit (1975). One of the main challenges is to prove that the Schubart orbit coincides with the action minimizer connecting a collinear configuration with a binary collision and an isosceles configuration which must be collinear. A geometric property of the action minimizer is introduced to overcome this challenge. The action minimizer without collisions can be extended to the Broucke-Henon orbit.

 

报告人简介谢之福教授目前是美国南密西西比大学的讲席教授(Wright W. and Annie Rea Cross Endowed Chair Professor in Mathematics and Undergraduate Research)。他于1998年本科毕业于重庆师范大学,2001年在重庆大学获得硕士学位,然后到美国杨百翰大学攻读博士学位并于2006年毕业。他是美国数学学会(American Mathematical Society,美国国防工业学会(National Defense Industrial Association,国家建模与仿真联盟(National Modeling and Simulation Coalition的会员,同时担任过国家建模与仿真联盟下的教育与职业发展委员会(Standing Committee of Education and Professional Development的执行成员。谢之福教授的主要研究兴趣是:动力系统及天体力学,偏微分方程及其应用,和生物数学。他认为在高校里工作最让人激动的是可以看着学生在自己的亲身指导下逐步成长起来,最终找到自己喜欢的事业。业余时间,他喜欢读书,跑步健身,及陶艺制作。

Bio: Dr. Zhifu Xie is the Wright W. and Annie Rea Cross Endowed Chair Professor in Mathematics and Undergraduate Research in the Department of Mathematics at the University of Southern Mississippi(USM). Dr. Xie earned his Ph.D. in Applied Mathematics from Brigham Young University in 2006, a master’s degree in Mathematics from Chongqing University of China, and a bachelor’s degree in Mathematics Education from Chongqing Normal University. Dr. Xie has been a member of American Mathematical Society (AMS), National Defense Industrial Association (NDIA), and National Modeling and Simulation Coalition (NMSC). He served a member of NMSC's standing committee of Education and Professional Development (EPD). Dr. Xie has a broad research interests including dynamical system and celestial mechanics, partial differential equations and its applications, mathematical biology, and game theory.  He thought that the most exciting part of working at a university is working closely with students and watching their progress through internships and individual research projects. He enjoys reading, running, and ceramic arts.

 

主办教师:于永光

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