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Talk

A mean-field limit for the Vlasov-Poisson system

  • Peter Pickl (LMU München)
A3 01 (Sophus-Lie room)

Abstract

Derivation of the Vlasov-Poisson equation from Newtonian mechanics of interacting particles is challenging in the case of singular interactions.

In the talk I will present a new method which is based on probabilistic arguments and allows to consider Coulomb interactions with an N-dependent cut-off. In particular, I will show convergence of the empirical distribution to solutions of the Vlasov-Poisson equation for typical initial conditions.

Upcoming Events of this Seminar

  • Dienstag, 11.03.25 tba with Jianfeng Lu
  • Dienstag, 11.03.25 tba with Steffen Börm
  • Dienstag, 06.05.25 tba with Ilya Chevyrev
  • Dienstag, 03.06.25 tba with Mate Gerencser