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Seminar
FIELD Math:Analysis
DATE February 12 (Tue), 2019
TIME 14:00-15:30
PLACE 1423
SPEAKER Seok, Jinmyoung
HOST Jeong, In-Jee
INSTITUTE 경기대학교
TITLE Semiclassical limit of solitons between Hartree systems and Vlasov-Poisson systems
ABSTRACT

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 Hartree 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 Hatree 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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