偏微分方程式セミナー: Existence of the stationary solutions and its asymptotic stability for non-isentropic Euler-Maxwell system

開催日時
2013年   12月 2日 16時 30分 ~ 2013年   12月 2日 17時 30分
場所
北海道大学理学部3号館309室
講演者
上田好寛氏 (神戸大学大学院海事科学研究科)
 
In this talk, we consider the Cauchy problem of the nonisentropic
Euler-Maxwell system. The Euler-Maxwell system
describes the dynamics of compressible electrons in plasma
physics under the interaction of the magnetic and electric
fields via the Lorentz force. Our purpose is to study the
large-time behavior of solutions to the initial value problem
for the non-isentropic Euler-Maxwell system. This system
verifies the dissipative property of the regularity-loss type.
We first consider the stationary problem and derive the existence
of the stationary solution. Moreover, under smallness
condition on the initial perturbation and the amplitude of
stationary solution, we show that the solution to the problem
exists globally in time and converges to the stationary solution.
This talk is based on a joint work with Shuichi Kawashima
(Kyushu University).

関連項目

研究集会・セミナー・集中講義の一覧へ