# Seminar Rio de Janeiro webinars on analysis and PDE

Posted online: 2021-04-04 22:50:37Z by Edgard Pimentel3

Expires At: 2021-04-10

• Analysis of PDEs

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Mean-Field limits for Coulomb-type dynamics

Sylvia Serfaty (Courant Institute of Mathematical Sciences, NYU)

Abstract: We consider a system of $N$ particles evolving according to the gradient flow of their Coulomb or Riesz interaction, or a similar conservative flow, and possible added random diffusion. By Riesz interaction, we mean inverse power $s$ of the distance. We present a convergence result as $N$ tends to infinity to the expected limiting mean field evolution equation. We also discuss the derivation of Vlasov-Poisson from newtonian dynamics in the monokinetic case, as well as related results for Ginzburg-Landau vortex dynamics.

Date and time: April 9th, 10:00PM GMT-4/EDT (click here for your local time zone).

Further information, including the link to access the lecture, is available on our website.