5 papers
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…
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…
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…