Semiclassical limit of solitons between Schrodinger-Poisson systems and Vlasov-Poisson systems
报 告 人: Jinmyoung Seok
所在单位: KYONGGI UNIVERSITY
报告地点: 数学楼第二报告厅
报告时间: 2019-07-02 10:00:00
报告简介:

Statistical dynamics of a system of collisionless particles in the gravitational field they generate is described by a Vlasov-Poisson system. By quantizing it,we get a Schrodinger-Poisson system which describes statistical dynamics of a system of bosons. It has been an one of central problems of mathematical physics to rigorously prove the convergence of the semiclassical limit between IVP from Schrodinger-Poisson systems to Vlasov-Poisson systems. In this talk, we turn to semiclassical limits of solitons between them. We will see that the semiclassical problems for solitons are independent of problems for IVP so completely different approaches, for example, variational approaches are required to prove it.




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主讲人简介:
Jinmyoung Seok, Assistant Professor, department of Mathematics, KYONGGI UNIVERSITY. He got his PHD in Pohang University of Science and Technology. His Research interests includes: Partial Differential Equations Calculus of Variations Mathematical Physics.