Search

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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of this Seminar

  • Tuesday, 04.06.24 tba with Vadim Gorin
  • Tuesday, 11.06.24 tba
  • Tuesday, 25.06.24 tba with Paul Dario
  • Tuesday, 25.06.24 tba with Julian Fischer
  • Tuesday, 16.07.24 tba with Michael Loss
  • Tuesday, 20.08.24 tba with Tomasz Komorowski
  • Tuesday, 03.12.24 tba with Patricia Gonçalves