セミナー

発表言語 英語
開催日 2013年07月19日 15時30分
終了日 2013年07月19日 16時30分
開催場所京都大学理学部3号館 (数学教室) 251号室
セミナー名NLPDEセミナー
タイトル Part : Invariant measures and long time behavior for the Benjamin-Ono equation 
分野 解析
講演者名Nikolay Tzvetkov
講演者所属Universite de Cergy-Pontoise
概要 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.
備考 Part (15:30 - 16:30)
Invariant measures and long time behavior for the
Benjamin-Ono equation

Part (17:00 - 18:00)
Multi-solitons for the water-waves system
リンクhttp://www.kurims.kyoto-u.ac.jp/~nobu/nlpde/