Mean-Field Limits of Riesz-type Singular Flows
Time: 2021-09-14
Published By: He Liu
Speaker(s): Quoc-Hung Nguyen (AMSS-CAS)
Time: 10:00-11:00 September 23, 2021
Venue: Room 9, Quan Zhai, BICMR
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.