动力系统与偏微分方程

Spectral Instability of Electronic Euler-Poisson System

发布人:发布时间: 2024-01-08

字体大小: 【小】 【中】 【大】

题目:Spectral Instability of Electronic Euler-Poisson System

报告人孙长贞(弗朗什-孔泰大学)

时间2024112日上午930-1030

腾讯会议号码857814121

会议密码240112

摘要:In this talk, we are concerned with the spectral instability of periodic waves for the electronic Euler-Poisson system, a hydrodynamical model for understanding electron dynamics in plasmas. It is found that even small-amplitude periodic traveling waves in this system exhibit spectral instability, which is neither modulation nor co-periodic, necessitating an usual spectral analysis approach. We will provide an explanation of fundamental tools employed to investigate the stability of periodic waves, including Bloch-Floquet theory, Kato's perturbation theory, while outlining the primary proof strategy.

邀请人:朱昊 老师