题目：On the long-wave approximation for the Euler-Poisson system
报告人：杨雄锋（上海交通大学教授）
时间：2021年6月8日（周二）下午2：30-3：30
腾讯会议：673 247 437
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Arch. Ration. Mech. Anal., Adv. Math., 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。
