Long time behaviour and particle approximation of a generalised Vlasov dynamic

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8 Citations (Scopus)

Abstract

In this paper, we are interested in a generalised Vlasov equation, which describes the evolution of the probability density of a particle evolving according to a generalised Vlasov dynamic. The achievement of the paper is twofold. Firstly, we obtain a quantitative rate of convergence to the stationary solution in the Wasserstein metric. Secondly, we provide a many-particle approximation for the equation and show that the approximate system satisfies the propagation of chaos property.
Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalNonlinear Analysis: Theory, Methods & Applications
Volume127
Early online date7 Jul 2015
DOIs
Publication statusPublished - Nov 2015

Keywords

  • Long time behaviour
  • Particle approximation
  • propagation of chaos
  • Generalised Vlasov dynamic
  • Wasserstein metric

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