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                                        Global Existence and Singularity of the N-body Problem, a potential well approac ...

                                        来源:复旦大学数学科学学院 | 2019-04-26 | 发布:经管之家

                                        报告题目: Global Existence and Singularity of the N-body Problem, a potential well approach报 告 人:Prof. Slim Ibrahim报告人所在单位:University of Victoria报告日期:2019-04-30 星期二报告时间:14:00-15:00报告地点:光华东主楼2001报告摘要:
                                        Unstable dispersive Hamiltonian evolution equations, such as semi-linear Klein-Gordon and Schroedinger equations, exhibit ”soliton”-like solutions. Amongst those one singles out the ground state, which has the lowest energy of all solitons. When the solutions are restricted to have energies at most slightly above that of the ground state, one obtains a trichotomy in forward time for this regime of energies. Recently, we found that this idea could be used to characterize solutions in theN-bodyproblem. For N > 2, the question becomes quite complicated, and I will give some partial results. This is a joint work with Y. Deng.

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