Mean-Field Limits of Riesz-type Singular Flows
发布时间:2021年09月14日
浏览次数:4981
发布者: He Liu
主讲人: Quoc-Hung Nguyen (AMSS-CAS)
活动时间: 从 2021-09-23 10:00 到 11:00
场地: 北京国际数学研究中心,全斋全9教室
In this talk, we will discuss a proof of mean-field convergence of first-order dissipative or conservative dynamics of particles with Riesz-type singular interaction (the model interaction is an inverse power $s$ of the distance for any $0<s<d$) when assuming a certain regularity of the solutions to the limiting evolution equations. It relies on a modulated-energy approach and a new commutator estimate.