Seminar
Nonlinear dispersive PDEs, and their applications to mathematical physics.
작성자Author
관리자
작성일Date
20171109 14:28
조회Views
300
분야Field  수학과 전임교원 임용후보자공개 세미나  

날짜Date  20171107  시간Time  5:00 ~ 6:30 
장소Place  Math. Bldg. 404  초청자Host  수학과 
연사Speaker  홍영훈  소속Affiliation  Yonsei Univ./Postdoctoral Researcher 
TOPIC  Nonlinear dispersive PDEs, and their applications to mathematical physics.  
소개 및 안내사항Content  Title : Nonlinear dispersive PDEs, and their applications to mathematical physics. Abstract : The field of nonlinear dispersive PDEs has developed rapidly over last two decades. On the one hand, more refined description of dynamics of solutions, e.g., scattering and blowup, is discovered toward the soliton resolution conjecture. On the other hand, the techniques from dispersive PDEs have been successfully applied to the problems arising in mathematical physics. In this talk, focusing on the latter aspect, I present recent progress and my research plan in quantum manybody problems and various limit problems, in particular: (1) rigorous derivation of the nonlinear Schrödinger equation from the linear equation; (2) Strichartz estimates and the kinetic energy inequality for orthogonal functions, and their applications to the quantum Landau damping; (3) the semiclassical limit of the quantum Landau damping. If time permits, I will also mention the joint work with Woocheol Choi and Jinmyoung Seok on limit problems along ground states. 
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