169 citations · 169 across the 3 of their papers we have counts for
9 papers · 1 filter
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,…
Enhancement of elasto-dielectrics by homogenization of active charges
Gilles A. Francfort, Antoine Gloria, Oscar Lopez-Pamies
We investigate the PDE system resulting from even electromechanical coupling in elastomers. Assuming a periodic microstructure and a periodic distribution of micro-charges of a pre…
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…
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…
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…