N-particles approximation of the vlasov equations with singular potential

Maxime Hauray, Pierre Emmanuel Jabin

Research output: Contribution to journalArticlepeer-review

82 Scopus citations


We prove the convergence in any time interval of a point-particle approximation of the Vlasov equation by particles initially equally separated for a force in 1/|x|α, with α ≦ 1. We introduce discrete versions of the L norm and time averages of the force-field. The core of the proof is to show that these quantities are bounded and that consequently the minimal distance between particles in the phase space is bounded from below.

Original languageEnglish (US)
Pages (from-to)489-524
Number of pages36
JournalArchive for Rational Mechanics and Analysis
Issue number3
StatePublished - Mar 2007

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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