报告名称：On the long-wave approximation for the Euler-Poisson system

主讲人：杨雄锋 教 授

邀请人：刘国威 副教授

时间：2023年10月15日   9:30

地点：一边亲一边在下面膜的动图527会议室

主办单位：一边亲一边在下面膜的动图

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 well-prepared initial data. 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. I will also discuss the long wave limit of Euler-Poisson system in multi-dimensions.

专家简介

杨雄锋，上海交通大学一边亲一边在下面膜的动图教授、博士研究生导师、上海市“晨星学者”。主要致力于非线性偏微分方程的研究，主要研究内容有：动理学方程及其边界层问题的适定性，流体力学方程解的逐点性质以及耗散系统基本波的稳定性理论，这些内容都是偏微分方程基础理论研究中的重要课题。相关的文章发表在Adv. Math., Arch. Ration. Mech. Anal., SIAM J. Math. Anal., J. Diff. Equations, Comm. Part. Diff. Eqns. 等重要数学期刊上。另外，报告人曾多次获得国家自然科学基金委资助，并在2011年获得上海市自然科学一等奖。