Mean field limit for the one dimensional Vlasov-Poisson equation

@article{Hauray2012MeanFL,
  title={Mean field limit for the one dimensional Vlasov-Poisson equation},
  author={M. Hauray},
  journal={arXiv: Analysis of PDEs},
  year={2012}
}
  • M. Hauray
  • Published 2012
  • Mathematics, Physics
  • arXiv: Analysis of PDEs
We consider systems of $N$ particles in dimension one, driven by pair Coulombian or gravitational interactions. When the number of particles goes to infinity in the so called mean field scaling, we formally expect convergence towards the Vlasov-Poisson equation. Actually a rigorous proof of that convergence was given by Trocheris in \cite{Tro86}. Here we shall give a simpler proof of this result, and explain why it implies the so-called "Propagation of molecular chaos". More precisely, both… Expand
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