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math.AP2022
Non-existence of mean-field models for particle orientations in suspensions
Richard M. Höfer, Amina Mecherbet, Richard Schubert
We consider a suspension of spherical inertialess particles in a Stokes flow on the torus . The particles perturb a linear extensional flow due to their rigidity const…
math.AP2022★ 3 cited
A few remarks on the transport-Stokes system
Amina Mecherbet, Franck Sueur
We consider the so-called transport-Stokes system which describes sedimentation of inertialess suspensions in a viscous flow and couples a transport equation and the steady Stokes…
math.AP2022★ 6 cited
Derivation of the viscoelastic stress in Stokes flows induced by non-spherical Brownian rigid particles through homogenization
Richard M. Höfer, Marta Leocata, Amina Mecherbet
We consider a microscopic model of identical axis-symmetric rigid Brownian particles suspended in a Stokes flow. We rigorously derive in the homogenization limit of many small…