2 citations · 3 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Homogenization of active suspensions and reduction of effective viscosity
Armand Bernou, Mitia Duerinckx, Antoine Gloria
We consider a suspension of active rigid particles (swimmers) in a steady Stokes flow, where particles are distributed according to a stationary ergodic random process, and we stud…
Convergence Towards the Steady State of a Collisionless Gas With Cercignani-Lampis Boundary Condition
Armand Bernou
We study the asymptotic behavior of the kinetic free-transport equation enclosed in a regular domain, on which no symmetry assumption is made, with Cercignani-Lampis boundary condi…
Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition
Armand Bernou, Kleber Carrapatoso, Stéphane Mischler +1
We establish the convergence to the equilibrium for various linear collisional kinetic equations (including linearized Boltzmann and Landau equations) with physical local conservat…
A semigroup approach to the convergence rate of a collisionless gas
Armand Bernou
We study the rate of convergence to equilibrium for a collisionless (Knudsen)gas enclosed in a vessel in dimension . By semigroup arguments,we prove that in the $L^1…