报告人：杨雄锋（上海交通大学）

邀请人：雷远杰

报告时间：2021年6月1日（星期二）14:30-16:30

报告地点：腾讯会议 ID：632 151 764

报告题目：On the long-wave approximation for the Euler-Poisson system

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.

报告人简介：杨雄锋，上海交通大学数学科学学院教授。2004年毕业于武汉大学数学与统计学院，研究方向为偏微分方程，主要内容有: 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Advances in Mathematics， Arch. Ration. Mech. Anal. , Siam J. Math. Anal., J. Diff. Equations, Comm. Part. Diff. Eqns., J. Stat. Phys. 等数学期刊中。另外，报告人曾多次获得国家自然科学基金委资助。