Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces

2015/11/12 by Pierre‐Emmanuel Jabin, Zhenfu Wang, Jabin, Pierre-Emmanuel +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1511.03769

openalex publication_date 2015/11/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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