On the long-wave approximation for the Euler-Poisson system
数学专题报告
报告题目(Title)：On the long-wave approximation for the Euler-Poisson system
报告人(Speaker)：杨雄锋 教授（上海交通大学数学科学学院）
地点(Place)：腾讯会议号：351248691（无密码）
时间(Time)：2021年12月17日(周五) 上午10:30-11:30
邀请人(Inviter)：许孝精
报告摘要
In this talk, I will present the study of the long wave approximation to the Euler-Poisson system of the ion-acoustic wave in cold plasma according to the spatial-temporal scale and the amplitude of waves. We first justify rigorously that in the long-wave limit, the one-way propagating solutions of the Euler-Poisson system are well approximated by the unidirectional solutions of the Burgers or KdV equation with the different parameter scales. We then demonstrate that the solutions could be convergent to two wave packets in opposite directions, where each wave packet involves independently as a solution of the Burgers or KdV equation.
