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math.AP2025
Mean-field approximation, Gibbs relaxation, and cross estimates
Armand Bernou, Mitia Duerinckx
We study the propagation of chaos and relaxation to Gibbs equilibrium for a system of classical Brownian particles with weak mean-field interactions. It is well known that prop…
math.AP2025
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles
Armand Bernou, Mitia Duerinckx
We consider a system of classical Brownian particles interacting via a smooth long-range potential in the mean-field regime, and we analyze the propagation of chaos in form of shar…
math.AP2024
Asymptotic Behavior of Degenerate Linear Kinetic Equations with Non-Isothermal Boundary Conditions
Armand Bernou
We study the degenerate linear Boltzmann equation inside a bounded domain with a generalized diffuse reflection at the boundary and variable temperature, including the Maxwell boun…