5 papers · 1 filter
Brinkman's term for the steady-state Navier-Stokes equations with prescribed flux rate or pressure drop in perforated pipes
Richard M. Höfer, Richard M. Höfer, Amina Mecherbet +1
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…
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 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…
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…