9 papers · 1 filter
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…
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…
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…
Large-scale dispersive estimates for acoustic operators: homogenization meets localization
Mitia Duerinckx, Antoine Gloria
This work relates quantitatively homogenization to Anderson localization for acoustic operators in disordered media. By blending dispersive estimates for homogenized operators and…
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…