波動セミナー

開催日時
2013年   7月 25日 14時 30分 ~ 2013年   7月 25日 18時 00分
場所
北海道大学理学部3号館210室
講演者
水町 徹 (九州大学理学研究院)、Nikolay Tzvetkov (セルジー・ポントワーズ大学)
 
プログラム

14:30--16:00
水町 徹 (九州大学理学研究院)
Stability of line solitons for the KP-II equation in R²

16:30--18:00
Nikolay Tzvetkov (セルジー・ポントワーズ大学)
Invariant measures and long time behavior for the Benjamin-Ono equation


アブストラクト
(Nikolay Tzvetkov)
The KdV and the Benjamin-Ono equations are basic models, derived from the water waves equations for the propagation of long, small amplitude one dimensional waves. The solutions of the KdV equations, posed on the torus are known to be almost periodic in time. The long time behavior of the Benjamin-Ono equation, posed on the torus is much less understood. In this talk, we will present some progress on this problem. Namely, we shall construct an infinite sequence of weighted gaussian measures which are invariant by the flow of the Benjamin-Ono equation. These measures are supported by Sobolev spaces of increasing regularities. The "probabilistic view point" is essential in our analysis. In particular our arguments are less dependent on the particular behavior of each trajectory, compared to previous works on the subject. The talk is based on a series of joint works with Nicola Visciglia.

関連項目

研究集会・セミナー・集中講義の一覧へ