4 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…
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…
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…
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…