2 citations · 3 across the 12 of their papers we have counts for
12 papers
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…
Creation of chaos for interacting Brownian particles
Armand Bernou, Mitia Duerinckx, Matthieu Ménard
We consider a system of Brownian particles, with or without inertia, interacting in the mean-field regime via a weak, smooth, long-range potential, and starting initially from…
Convex order and increasing convex order for McKean-Vlasov processes with common noise
Armand Bernou, Théophile Le Gall, Yating Liu
We establish results on the conditional and standard convex order, as well as the increasing convex order, for two processes and $ Y = (Y_t)_{t \in [0,…
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…
Particle method for the numerical simulation of the path-dependent McKean-Vlasov equation
Armand Bernou, Yating Liu
We present the particle method for simulating the solution to the path-dependent McKean-Vlasov equation, in which both the drift and the diffusion coefficients depend on the whole…
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…
On Subexponential Convergence to Equilibrium of Markov Processes
Armand Bernou
Studying the subexponential convergence towards equilibrium of a strong Markov process, we exhibit an intermediate Lyapunov condition equivalent to the control of some moment of a…
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…
A coupling approach for the convergence to equilibrium for a collisionless gas
Armand Bernou, Nicolas Fournier
We use a probabilistic approach to study the rate of convergence to equilibrium for a collisionless (Knudsen) gas in dimension equal to or larger than 2. The use of a coupling betw…