MEAN-FIELD LIMITS FOR SINGULAR FLOWS
数学公众报告(120周年校庆系列第48场)
报告题目(Title)：MEAN-FIELD LIMITS FOR SINGULAR FLOWS
报告人(Speaker)：NGUYEN Quoc-Hung
地点(Place)：腾讯会议：107-420-310
时间(Time)：2022 年 10 月 21 日（周五） 15:00--16:00
邀请人(Inviter)：熊金钢
报告摘要
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 s \in (0,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. Based on joint works with Matthew Rosenzweig and Sylvia Serfaty.
