1 月 9 日 (金) 16:40 - 17:30
注:本講演は One-day international workshop on dispersive equations and related topics を兼ねています.
場所: 北海道大学 理学部 4 号館 4-501
講演者: Thierry Laurens (University of Wisconsin–Madison)
タイトル: Continuum Calogero--Moser models
▶ アブストラクト
The focusing CCM equation is a completely integrable PDE that describes a continuum limit of a particle gas interacting pairwise through an inverse-square potential. This system is well-posed below the mass of the soliton, but above this threshold there are solutions that blow up in finite time.
The defocusing model arises as a modulation equation for internal waves in a deep stratified fluid. In this setting, it is a member of a family of systems known as the intermediate nonlinear Schrödinger equations.
In this talk, we will discuss some recent well-posedness results for the continuum Calogero--Moser and intermediate nonlinear Schrödinger equations. This is based on joint works with Andreia Chapouto, Justin Forlano, Rowan Killip, and Monica Visan.