Mean-field derivation of Landau-like equations
Analysis of PDEs
2025-01-07 v1
Abstract
We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the tensorised solution of the limiting Landau-like equation.
Keywords
Cite
@article{arxiv.2403.12651,
title = {Mean-field derivation of Landau-like equations},
author = {José Antonio Carrillo and Shuchen Guo and Pierre-Emmanuel Jabin},
journal= {arXiv preprint arXiv:2403.12651},
year = {2025}
}
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7 pages