Analysis Seminar

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Mean-field limits for singular flows

Speaker: Sylvia SERFATY, NYU

Location: Warren Weaver Hall 312

Date: Thursday, September 30, 2021, 11 a.m.

Synopsis:

We discuss the derivation of PDEs as limits as N tends to infinity of the dynamics of N points for a certain class of  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, in dimension at least 3 a uniform in time convergence can even be obtained.