Mean field limit and propagation of chaos for Vlasov systems with bounded forces

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We consider large systems of particles interacting through rough but bounded interaction kernels. We are able to control the relative entropy between the N-particle distribution and the expected limit which solves the corresponding Vlasov system. This implies the Mean Field limit to the Vlasov system together with Propagation of Chaos through the strong convergence of all the marginals. The method works at the level of the Liouville equation and relies on precise combinatorics results.

Original languageEnglish (US)
Pages (from-to)3588-3627
Number of pages40
JournalJournal of Functional Analysis
Volume271
Issue number12
DOIs
StatePublished - Dec 15 2016

All Science Journal Classification (ASJC) codes

  • Analysis

Fingerprint Dive into the research topics of 'Mean field limit and propagation of chaos for Vlasov systems with bounded forces'. Together they form a unique fingerprint.

Cite this