6 citations · 13 across the 11 of their papers we have counts for
13 papers
Brinkman's term for the steady-state Navier-Stokes equations with prescribed flux rate or pressure drop in perforated pipes
Richard M. Höfer, Amina Mecherbet, Gianmarco Sperone
The steady motion of a viscous incompressible fluid in a distorted pipe, containing several small particles of diameter $\eps^3$ and mutual distance $\eps$, is modeled through the…
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…
Analysis of a sedimenting suspension near a vertical wall
David Gérard-Varet, Amina Mecherbet
We consider a sedimenting suspension in a Stokes flow, in the presence of a vertical wall. We study the effect of a particle-depleted fluid layer near the wall on the bulk dynamics…
On the instability of travelling wave solutions for the transport-Stokes equation
Matthieu Bonnivard, Amina Mecherbet
In this paper, we investigate the instability of the spherical travelling wave solutions for the Transport-Stokes system in . First, a classical scaling argument ensu…
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…
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…
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…
A model for suspension of clusters of particle pairs
Amina Mecherbet
In this paper, we consider clusters of pairs of particles sedimenting in a viscous fluid. The particles are assumed to be rigid spheres and inertia of both particles and fluid…
Sedimentation of particles in Stokes flow
Amina Mecherbet
In this paper, we consider identical spherical particles sedimenting in a uniform gravitational field. Particle rotation is included in the model while inertia is neglected. Us…
Lp estimates for the homogenization of stokes problem in a perforated domain
Amina Mecherbet, Matthieu Hillairet
In this paper, we consider the Stokes equations in a perforated domain. When the number of holes increases while their radius tends to 0, it is proven in [L. Desvillettes, F. Golse…