汇报标题 (Title)：The limit from Vlasov-Poisson system to KdV/ZK equations
（从Vlasov-Poisson系统到KdV/ZK方程的极限）
汇报人 (Speaker)：杨雄锋 教授（上海交通大学）
汇报功夫 (Time)：2025年11月17日（周一）15:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：王宇澄
主办部门：理学院数学系
汇报提要：This talk presents the long wavelength approximation limit of the Vlasov-Poisson (VP) system in torus. We derive formally two-directional wave packets as the solutions of Korteweg-de Vries (KdV) equations from 1-D VP system, the two distinct wave packets as the solutions of Zakharov-Kuznetsov (ZK) equations from 3-D VP system with magnetic field, and the two-way waves as the solutions to the corresponding Kadomtsev-Petviashvili equations from 2-D VP system without magnetic field. A rigorous justification of this long-wave limit is established by the relative entropy method. It is a joint work with Dr. Zhao Lixian.
