“Online Analysis and PDE”

seminar will take place Wednesday

February 22th at  15:00h.  

 

LINK TO THE TALK

 

Speaker: Sylvia Serfaty 

Courant Institute. 

 

Title: Mean-field limits for singular flows 

 

Abstract: We discuss the derivation of PDEs as limits as N tends to infinity of the dynamics of N points for a certain class of  Coulomb and Riesz-type singular pair interactions. The method is based on studying the time evolution of a certain "modulated energy" and on proving a functional inequality relating certain "commutators" to the modulated energy. When additive noise is added, some uniform in time convergence  results can be obtained.  Based on joint works with Hung Nguyen, Matthew Rosenzweig, Antonin Chodron de Courcel.

 

Please, visit our   SITE OF THE SEMINAR  for more information on the next seminars, organizers, etc..