Mean-field derivation of Landau-like equations
arXiv:2403.12651 · doi:10.1016/j.aml.2024.109195
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.
7 pages