35 citations · 53 across the 14 of their papers we have counts for
21 papers
Homogenization of the Stokes equations with slender bodies
Pascal Hadré, Richard M. Höfer
In this paper we study the convergence of solutions of the Stokes equations in a domain perforated by slender bodies placed on a fixed periodic grid of size as the size of the…
Reactive Flow around Spherically Evolving Particles in Critical and Supercritical Dilute Regimes
Michael Eden, Richard M. Höfer
We study a coupled Stokes-reaction-diffusion-advection system in a three dimensional domain perforated by a large number of evolving spherical inclusions with radii of order $\vare…
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…
Propagation of chaos for first-order mean-field systems with non-attractive moderately singular interaction
Richard M. Höfer, Richard Schubert
We consider particle systems that evolve by inertialess binary interaction through general non-attractive kernels of singularity with . We prove a quantitative me…
Qualitative/quantitative homogenization of some non-Newtonian flows in perforated domains
Richard M. Höfer, Yong Lu, Florian Oschmann
In this paper, we consider the homogenization of stationary and evolutionary incompressible viscous non-Newtonian flows of Carreau-Yasuda type in domains perforated with a large nu…
Hydrodynamic limit of multiscale viscoelastic models for rigid particle suspensions
Mitia Duerinckx, Lucas Ertzbischoff, Alexandre Girodroux-Lavigne +1
We study the multiscale viscoelastic Doi model for suspensions of Brownian rigid rod-like particles, as well as its generalization by Saintillan and Shelley for self-propelled part…
Sedimentation of particles with very small inertia I: Convergence to the transport-Stokes equation
Richard M. Höfer, Richard Schubert
We consider the sedimentation of spherical particles with identical radii in a Stokes flow in . The particles satisfy a no-slip boundary condition and are subj…
Hindered Settling of Well-Separated Particle Suspensions
Matthieu Hillairet, Richard M. Höfer
We consider identical inertialess rigid spherical particles in a Stokes flow in a domain . We study the average sedimentation velocity of the particles wh…
Homogenization of the Navier-Stokes equations in perforated domains in the inviscid limit
Richard M. Höfer
We study the solution to the Navier-Stokes equations in perforated by small particles centered at with no-slip boundary co…
A fast point charge interacting with the screened Vlasov-Poisson system
Richard M. Höfer, Raphael Winter
We consider the long-time behavior of a fast, charged particle interacting with an initially spatially homogeneous background plasma. The background is modeled by the screened Vlas…
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…
Motion of several slender rigid filaments in a Stokes flow
Richard M. Höfer, Christophe Prange, Franck Sueur
We investigate the dynamics of several slender rigid bodies moving in a flow driven by the three-dimensional steady Stokes system in presence of a smooth background flow. More prec…
The Influence of Einstein's Effective Viscosity on Sedimentation at Very Small Particle Volume Fraction
Richard M. Höfer, Richard Schubert
We investigate the sedimentation of identical inertialess spherical particles in a Stokes fluid in the limit of many small particles. It is known that the presence of the particles…
Darcy's law as low Mach and homogenization limit of a compressible fluid in perforated domains
Richard M. Höfer, Karina Kowalczyk, Sebastian Schwarzacher
We consider the homogenization limit of the compressible barotropic Navier-Stokes equations in a three-dimensional domain perforated by periodically distributed identical particles…
Convergence rates and fluctuations for the Stokes-Brinkman equations as homogenization limit in perforated domains
Richard M. Höfer, Jonas Jansen
We study the homogenization of the Dirichlet problem for the Stokes equations in perforated by spherical particles. We assume the positions and velocities of the…
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains
Arianna Giunti, Richard M. Höfer
We consider the homogenization to the Brinkman equations for the incompressible Stokes equations in a bounded domain which is perforated by a random collection of small spherical h…
Mild assumptions for the derivation of Einstein's effective viscosity formula
David Gérard-Varet, Richard M. Höfer
We provide a rigorous derivation of Einstein's formula for the effective viscosity of dilute suspensions of rigid balls, , set in a volume of size . So far, most ju…
Convergence of the method of reflections for particle suspensions in Stokes flows
Richard M. Höfer
We study the convergence of the method of reflections for the Stokes equations in domains perforated by countably many spherical particles with boundary conditions typical for the…
Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes
Arianna Giunti, Richard Höfer, Juan J. L. Velázquez
This paper deals with the homogenization of the Poisson equation in a bounded domain of , , which is perforated by a random number of small spherical holes with…
The inertialess limit of particle sedimentation modeled by the Vlasov-Stokes equations
Richard M. Höfer
We study the Vlasov-Stokes equations which macroscopically model the sedimentation of a cloud of particles in a fluid, where particle inertia are taken into account but fluid inert…
The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains
Richard Höfer, Juan J. L. Velázquez
We study the convergence of the Method of Reflections for the Dirichlet problem of the Poisson and the Stokes equations in perforated domains which consist in the exterior of balls…