9 papers
Batchelor's formula and infrared renormalization for sedimentation
Mitia Duerinckx, Antoine Gloria
We study the sedimentation of stationary random suspensions of rigid particles in Stokes flow. Batchelor's formula predicts the first dilute correction to the infinite-volume mean…
Lenard-Balescu thermalization: rigorous derivation from a toy model
Mitia Duerinckx, Corentin Le Bihan
We study the long-time dynamics of a tagged particle coupled to a background of other particles, all interacting through long-range pairwise forces in the mean-field scaling, w…
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…
Homogenization of the stochastic double-porosity model
Elise Bonhomme, Mitia Duerinckx, Antoine Gloria
This work is devoted to the homogenization of elliptic equations in high-contrast media in the so-called 'double-porosity' resonant regime, for which we solve two open problems of…
Dynamics of point-vortex type systems near thermal equilibrium: relaxation or not?
Mitia Duerinckx, Pierre-Emmanuel Jabin
This article is devoted to the long-time dynamics of point-vortex type systems near thermal equilibrium and to the possible emergence of collisional relaxation. More precisely, we…