京都大学 NLPDE セミナー

京都大学 NLPDE セミナー
Kyoto University NLPDE Seminar

このセミナーは非線形微分方程式を中心に解析の研究に関して討論するセミナーです.

日時
毎週金曜日 Every Friday 15:30 〜 17:30
会場
京都大学 理学研究科 3 号館 251 号室 (会場へのアクセス
Room 251 at Science Building No.3, Kyoto University (map
幹事
堤誉志雄, 前川泰則, 高棹圭介, 岸本展


次回のセミナーの予定
Upcoming seminar

2018 年 3 月 3 日 18:30 〜 19:30
会場
京都大学 理学研究科 3 号館 108 号室
Room changed to 108 at Science Building No.3, Kyoto University
講演者
Renjun Duan 氏 (The Chinese University of Hong Kong)
講演題目
Shock waves for one-dimensional Navier-Stokes-Poisson system
講演要旨
Assume that the motion of ions in plasma along one direction is governed by the 1D Navier-Stokes-Poisson equations with the Boltzmann relation for the electrons. For this model, we establish the existence of small-amplitude shock waves via center manifold theorem, and further prove its dynamical stability under suitable smooth perturbations in terms of the classical energy method. It is also justified that the propagation of shock profiles is dominated by the KdV-Burgers equation in a suitable asymptotic regime where the viscosity effect is stronger enough than the one of dispersion described by the Debye length.


今後のセミナーの予定
Schedules of future seminars

3 月 3 日
Renjun Duan 氏 (The Chinese University of Hong Kong)