京都大学 NLPDE セミナー

京都大学 NLPDE セミナー

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.
会場へのアクセス

幹事:堤誉志雄,中西賢次,岸本展, 池田正弘


次回のセミナーの予定

日時
2015 年 3 月 20 日(金曜日) 15:30 〜 17:30
場所
京都大学 理学研究科 3 号館 251 号室
講演者
Zaher Hani 氏 (Georgia Institute of Technology)
講演題目
Energy dynamics across scales and wave turbulence in Hamiltonian PDE
講演要旨
Broadly speaking, we will be interested in the mathematical study of a central physical problem, namely that of energy transfer in Hamiltonian systems. More precisely, suppose energy is initially injected only in a fraction of all the possible degrees of freedom of the system, how will this energy be redistributed as time passes by? This problematic arises in several phenomena from heat transfer to wave dynamics in oceans and fluid plasma. We will focus our attention on dispersive Hamiltonian systems, and see how this problem translates into deep analytical questions about the long-time behavior of solutions to the corresponding nonlinear PDE. We will survey some attempts to understand these questions from a deterministic and statistical viewpoint, and report on recent progress in both directions.


今後のセミナーの予定

3 月 20 日
Zaher Hani 氏 (Georgia Institute of Technology)