# Seminar

# Nonlinear dispersive PDEs, and their applications to mathematical physics.

작성자Author

관리자

작성일Date

2017-11-09 14:28

조회Views

436

분야Field | 수학과 전임교원 임용후보자공개 세미나 | ||
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날짜Date | 2017-11-07 | 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 blow-up, 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 many-body 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 semi-classical 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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