10 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…
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…
Homogenization of the 2D Euler system: lakes and porous media
Mitia Duerinckx, Antoine Gloria
This work is devoted to the long-standing open problem of homogenization of 2D perfect incompressible fluid flows, such as the 2D Euler equations with impermeable inclusions modeli…
The Clausius-Mossotti formula
Mitia Duerinckx, Antoine Gloria
In this note, we provide a short and robust proof of the Clausius-Mossotti formula for the effective conductivity in the dilute regime, together with an optimal error estimate. The…
Quantitative homogenization theory for random suspensions in steady Stokes flow
Mitia Duerinckx, Antoine Gloria
This work develops a quantitative homogenization theory for random suspensions of rigid particles in a steady Stokes flow, and completes recent qualitative results. More precisely,…
Sedimentation of random suspensions and the effect of hyperuniformity
Mitia Duerinckx, Antoine Gloria
This work is concerned with the mathematical analysis of the bulk rheology of random suspensions of rigid particles settling under gravity in viscous fluids. Each particle generate…