36 citations · 241 across the 42 of their papers we have counts for
34 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…
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…
On Bourgain's approach to stochastic homogenization
Mitia Duerinckx, Marius Lemm, François Pagano
In 2018, Bourgain pioneered a novel perturbative harmonic-analytic approach to the stochastic homogenization theory of discrete elliptic equations with weakly random i.i.d. coeffic…
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…
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…
Hydrodynamic limit of multiscale viscoelastic models for rigid particle suspensions
Mitia Duerinckx, Lucas Ertzbischoff, Alexandre Girodroux-Lavigne +1
We study the multiscale viscoelastic Doi model for suspensions of Brownian rigid rod-like particles, as well as its generalization by Saintillan and Shelley for self-propelled part…
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…
A spectral ansatz for the long-time homogenization of the wave equation
Mitia Duerinckx, Antoine Gloria, Matthias Ruf
Consider the wave equation with heterogeneous coefficients in the homogenization regime. At large times, the wave interacts in a nontrivial way with the heterogeneities, giving ris…
Semi-dilute rheology of particle suspensions: derivation of Doi-type models
Mitia Duerinckx
This work is devoted to the large-scale rheology of suspensions of non-Brownian inertialess rigid particles, possibly self-propelling, suspended in Stokes flow. Starting from a hyd…
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…
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…
Well-posedness of the Lenard-Balescu equation with smooth interactions
Mitia Duerinckx, Raphael Winter
The Lenard-Balescu equation was formally derived in the 1960s as the fundamental description of the collisional process in a spatially homogeneous system of interacting particles.…
Continuum percolation in stochastic homogenization and the effective viscosity problem
Mitia Duerinckx, Antoine Gloria
This contribution is concerned with the effective viscosity problem, that is, the homogenization of the steady Stokes system with a random array of rigid particles, for which the m…
Eigenvalue fluctuations for random elliptic operators in homogenization regime
Mitia Duerinckx
This work is devoted to the asymptotic behavior of eigenvalues of an elliptic operator with rapidly oscillating random coefficients on a bounded domain with Dirichlet boundary cond…
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,…
Non-perturbative approach to the Bourgain-Spencer conjecture in stochastic homogenization
Mitia Duerinckx
In the context of stochastic homogenization, the Bourgain-Spencer conjecture states that the ensemble-averaged solution of a divergence-form linear elliptic equation with random co…
Effective viscosity of random suspensions without uniform separation
Mitia Duerinckx
This work is devoted to the definition and the analysis of the effective viscosity associated with a random suspension of small rigid particles in a steady Stokes fluid. While prev…
On Einstein's effective viscosity formula
Mitia Duerinckx, Antoine Gloria
In his PhD thesis, Einstein derived an explicit first-order expansion for the effective viscosity of a Stokes fluid with a suspension of small rigid particles at low density. His f…
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…
On the size of chaos via Glauber calculus in the classical mean-field dynamics
Mitia Duerinckx
We consider a system of classical particles, interacting via a smooth, long-range potential, in the mean-field regime, and we optimally analyze the propagation of chaos in form of…
Scaling limit of the homogenization commutator for Gaussian coefficient fields
Mitia Duerinckx, Julian Fischer, Antoine Gloria
Consider a linear elliptic partial differential equation in divergence form with a random coefficient field. The solution operator displays fluctuations around its expectation. The…
Corrector equations in fluid mechanics: Effective viscosity of colloidal suspensions
Mitia Duerinckx, Antoine Gloria
Consider a colloidal suspension of rigid particles in a steady Stokes flow. In a celebrated work, Einstein argued that in the regime of dilute particles the system behaves at leadi…