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math.AP2019
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…
math.AP2019
A scalar version of the Caflisch-Luke paradox
Antoine Gloria
Consider an infinite cloud of hard spheres sedimenting in a Stokes flow in the whole space . Despite many contributions in fluid mechanics and applied mathematics, the…
math.AP2019
A remark on a surprising result by Bourgain in homogenization
Mitia Duerinckx, Antoine Gloria, Marius Lemm
In a recent work, Bourgain gave a fine description of the expectation of solutions of discrete linear elliptic equations on with random coefficients in a perturbative…