| 発表言語 |
英語
|
| 開催日 |
2012年11月06日 15時00分
|
| 終了日 |
2012年11月06日 16時00分
|
| 開催場所 | 京都大学理学部3号館 (数学教室) 552号室 |
| セミナー名 | NLPDEセミナー |
| タイトル |
Well-posedness of the Euler-Poisson system and rigorous justification of the Zakharov-Kuznetsov equation |
| 分野 |
解析
|
| 講演者名 | Jean-Claude Saut |
| 講演者所属 | Universite de Paris-Sud, Orsay |
| 概要 | We consider the rigorous derivation of the Zakharov-Kuznetsov (ZK) equation from the Euler-Poisson (EP) system for uniformly magnetized plasmas. We first provide a proof of well-posedness of the Cauchy problem for the EP system in long time, in dimensions two and three. Then we prove that the long wave small amplitude limit is described by the ZK equation. This is done first in the case of a cold plasma; then we show how to extend the result in presence of the isothermal pressure term with uniform estimates when this latter tends to zero. |
| 備考 | *通常と会場が異なりますのでご注意ください
Program:
15:00 -- 16:00 "Well-posedness of the Euler-Poisson system and rigorous justification of the Zakharov-Kuznetsov equation"
16:00 -- 16:15 break
16:15 -- 17:15 "Initial boundary value problem and control of the Zakharov-Kuznetsov equation" |
| リンク | https://www.math.kyoto-u.ac.jp/~n-kishi/nlpde/ |