マス・フォア・インダストリ研究所

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リスト 全て(掲示受付分)(1672) 今日・明日のセミナー(2)

Stationary solutions to the Euler--Poisson equations in a perturbed half-space


開催時期 2019-12-06 15:30~2019-12-06 17:00

場所 福岡大学・セミナーハウス・2階セミナー室D

受講対象  

講師 鈴木 政尋 (名古屋工業大学)

【概要】
The purpose of this talk is to mathematically investigate the formation of a plasma sheath near the surface of walls immersed in a plasma, and to analyze qualitative information of such a sheath layer. In the case of planar wall, Bohm proposed a criterion on the velocity of the positive ion for the formation of sheath, and several works gave its mathematical validation. It is of more interest to analyze the criterion for the nonplanar wall. In this talk, we study the existence and asymptotic stability of stationary solutions for the Euler-Poisson equations in a domain of which boundary is drawn by a graph. The existence and stability theorems are shown by assuming that the velocity of the positive ion satisfies the Bohm criterion at infinite distance. What most interests us in these theorems is that the criterion together with a suitable necessary condition guarantees the formation of sheaths as long as the shape of walls is drawn by a graph. This talk is based on a joint work with Professor Masahiro Takayama (Keio Univ.).



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