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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

  • Mar 12, 2024 tba with Theresa Simon
  • Mar 26, 2024 tba with Phan Thành Nam
  • Mar 26, 2024 tba with Dominik Schmid
  • May 7, 2024 tba with Manuel Gnann
  • May 14, 2024 tba with Barbara Verfürth
  • May 14, 2024 tba with Lisa Hartung
  • Jun 25, 2024 tba with Paul Dario
  • Jul 16, 2024 tba with Michael Loss