京都大学 NLPDE セミナー

京都大学 NLPDE セミナー
Kyoto University NLPDE Seminar

このセミナーは非線形微分方程式を中心に解析の研究に関して討論するセミナーです.

日時
毎週金曜日 Every Friday 15:30 〜 17:30
会場
京都大学 理学研究科 3 号館 251 号室 (会場へのアクセス
Room 251 at Science Building No.3, Kyoto University (map
幹事
堤誉志雄, 前川泰則, 岸本展, 阿部健, 池田正弘, 山崎陽平


次回のセミナーの予定
Upcoming seminar

2016 年 12 月 13 日 16:00 〜 17:30
会場
京都大学 理学研究科 3 号館 552 号室
Room changed to 552 at Science Building No.3, Kyoto University
講演者
呉 忠弘 氏 (The University of Edinburgh)
Tadahiro Oh (The University of Edinburgh)
講演題目
Renormalization for the two-dimensional nonlinear wave equations
講演要旨
  In this talk, we consider various renormalizations for the nonlinear wave equations (NLW) on the two-dimensional torus.
  (i) We first discuss the renormalization for the construction of the Gibbs measures for the deterministic NLW. Then, by establishing probabilistic Strichartz estimates for the Wiener homogenous chaoses consisting of the random linear solution, we prove almost sure local well-posedness of the renormalized NLW. By applying Bourgain's invariant measure argument, we also obtain almost sure global well-posedness and invariance of the Gibbs measures for NLW.
  (ii) Next, we consider the stochastic NLW (SNLW) with space-time white noise forcing. By introducing a time-dependent renormalization, we prove that the SNLW is almost surely locally well-posed.
  (iii) Lastly, we consider the deterministic cubic NLW. By considering the renormalized H^s-energy functional and establishing a probabilistic energy estimate, we prove quasi-invariance of Gaussian measures on H^s under the dynamics of the cubic NLW.
  This talk is based on joint work with (i) Laurent Thomann (Nancy), (ii) Massimiliano Gubinelli (Bonn) and Herbert Koch (Bonn), and (iii) Nikolay Tzvetkov (Cergy-Pontoise).


今後のセミナーの予定
Schedules of future seminars

12 月 13 日
呉 忠弘 氏 (The University of Edinburgh)
Tadahiro Oh (The University of Edinburgh)

12 月 16 日
瀬片 純市 氏 (東北大学大学院理学研究科)
Jun-ichi Segata (Tohoku University)

1 月 5 日
Nader Masmoudi 氏 (New York University)

1 月 20 日
石井 仁司 氏 (早稲田大学教育・総合科学学術院)
Hitoshi Ishii (Waseda University)