| Language |
English
|
| From |
2012/11/06 15:00
|
| To |
2012/11/06 16:00
|
| Place | Room 552, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | NLPDE Seminar |
| Title |
Well-posedness of the Euler-Poisson system and rigorous justification of the Zakharov-Kuznetsov equation |
| Field |
Analysis
|
| Speakers | Jean-Claude Saut |
| Affiliation | Universite de Paris-Sud, Orsay |
| Abstract | 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. |
| Note | *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" |
| Link | http://www.math.kyoto-u.ac.jp/~n-kishi/nlpde/ |