test_moissonnage_selune
type: Agent

Particles approximations of Vlasov equations with singular forces : Propagation of chaos
type: Dataset
contact point: Organization
  fn: CCSD
keyword: propagation-of-chaos
keyword: vlasov-equation
keyword: particle-methods
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: derivation-des-modeles-cinetiques
keyword: derivation-of-kinetic-equations
keyword: propagation-du-chaos
keyword: equation-de-vlasov
keyword: infoeu-reposemanticsarticle
keyword: limites-de-champ-moyen
keyword: methodes-particulaires
landing page: 0012-9593
description: We obtain the mean field limit and the propagation of chaos for a system of particles interacting with a singular interaction force of the type $1/|x|^\alpha$, with $\alpha <1$ in dimension $d \geq 3$. We also provide results for forces with singularity up to $\alpha < d-1$ but with large enough cut-off. This last result thus almost includes the most interesting case of Coulombian or gravitational interaction, but it is also interesting when the strength of the singularity $\alpha$ is larger but close to one, in which case it allows for very small cut-off.
issued: 2026-05-11T04:42:27.048849
language: en
modified: 2026-05-11T04:42:27.048854

Particles approximations of Vlasov equations with singular forces : Propagation of chaos
type: Distribution
access URL: https://hal.science/hal-00609453
format: HTML
issued: 2026-05-11T04:42:27.073032
modified: 2026-05-11T04:42:27.032737