3 citations · 3 across the 5 of their papers we have counts for
8 papers · 1 filter
Derivation of the Monokinetic Vlasov-Stokes equations
Richard M. Höfer, A. Mecherbet, R. Schubert
We consider a microscopic model of spherical particles with inertia in a Stokes flow. As the particle number grows to infinity and their size goes to zero we derive the monokinetic…
On the analyticity of the flow map for the AHT equations
Amina Mecherbet, Franck Sueur
The AHT equation is a non linear and non local vectorial transport equation which was introduced in 2003 by Angenent, Haker and Tannenbaum in optimal transport theory. For this equ…
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…
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…
On the sedimentation of a droplet in Stokes flow
Amina Mecherbet
This paper is dedicated to the analysis of a mesoscopic model which describes sedimentation of inertialess suspensions in a viscous flow at mesoscopic scaling. The paper is divided…
On the correction to Einstein's formula for the effective viscosity
David Gérard-Varet, Amina Mecherbet
This paper is a follow-up of article [6], on the derivation of accurate effective models for viscous dilute suspensions. The goal is to identify an effective Stokes equation provid…