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“Online Analysis and PDE”
seminar will take place Wednesday
February 22th at 15:00h.
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..