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加拿大维多利亚大学 Florin N. Diacu教授 The n-body problem of celestial mechanics

(发布于:2016-05-10 )

主讲人:加拿大维多利亚大学  Florin N. Diacu教授

主持人:经济数学学院 向开理教授

  间:2016年5月11日(星期三)下午4:00-5:30

  点:通博楼B412

主办单位:经济数学学院、科研处

 

主讲人简介:

Dr.Florin N. Diacu is an active and influential researcher and educator of many disciplines such as Celestial Mechanics and Differential Equations et al.He received many honours and awards,in particular, he has been awarded the 2015 J.D. Crawford Prize from SIAM for his study of the motion of celestial orbits and the geometrical nature of physical space, he is the first Canadian to receive the honour.He has more than 60 publications in the famous journals such as Memories of AMS, J.of Nonlinear Science,Transacation of AMS, Physica D, J. of Differential Equations and so on. And he has some influential books,included the well known “Celestial Encounters - The Origins of Chaos and Stability”(Princeton University Press,Princeton, NJ).At last,it's worth mentioning that Dr.Diacu has a good command of English, German, French, Romanian and Spanish, even familiar with Portuguese and Italian.

 

 

内容提要:

The n-body problem of celestial mechanics has a long history, which starts with

Newton’s Principia in 1687. Since then, many famous mathematicians, astronomers

and physicists brought valuable contributions towards understanding it. Thanks to

this problem, they developed classical mathematical tools, which are now applied

to many other areas of mathematics. Among them are the perturbation methods used

by Laplace and Lagrange, which helped Adams and Leverrier discover the planet

Neptune, as well as some variational methods, initially brought to celestial

mechanics by Poincaré. In the past 20 years, the huge successful applications of

variational methods and the perturbation methods to generalized solutions, allowed us to obtain new orbits for the related n-body problems with weak forces. Nevertheless, many basic questions remain open,not only in the Euclidean case, but also in spaces of constant curvature.The goal of this talk is to introduce the history and new developments of celestial mechanics.



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