»ã±¨±êÌâ (Title)£ºThe limit from Vlasov-Poisson system to KdV/ZK equations

£¨´ÓVlasov-Poissonϵͳµ½KdV/ZK·½³ÌµÄ¼«ÏÞ£©

»ã±¨ÈË (Speaker)£ºÑîÐÛ·æ ½ÌÊÚ£¨ÉϺ£½»Í¨´óѧ£©

»ã±¨¹¦·ò (Time)£º2025Äê11ÔÂ17ÈÕ£¨ÖÜÒ»£©15:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÍõÓî³Î

Ö÷°ì²¿ÃÅ£ºÀíѧԺÊýѧϵ

»ã±¨ÌáÒª£ºThis 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.