イベントカレンダー

東工大数理解析セミナー： Bongsuk Kwon 氏

講演タイトル: Plasma solitary waves of the Euler-Poisson system
アブストラクト: 　We discuss the existence and asymptotic behavior of plasma solitary waves of the Euler-Poisson system which arises in the dynamics of plasmas. We first show the Euler-Poisson system admits a two-parameter family of the traveling solitary wave solutions, under the super-ion-acoustic condition, and show that the solitary wave converges to that of the associated KdV equation as the traveling speed tends to the ion-acoustic speed. As solutions of the KdV equation are dominated by their solitary waves, one may expect a similar result for the Euler-Poisson system with more general data. As a first step, we investigate the linear convective stability of the solitary waves of the Euler-Poisson system. If time permits, we shall discuss some key features of the proof of the linear stability. This is joint work with J. Bae (NCTS at National Taiwan University).

更新日：2019.10.03