3 papers
math.AP2026
Homogenization of the Navier-Stokes equations in a randomly perforated domain in the inviscid limit
Richard M. Höfer, Eleni Hübner-Rosenau
We study the behaviour of the solution to the Navier-Stokes equations with vanishing viscosity and a non-slip condition in a randomly perforated domain. We consider…
math.AP2025
Correction to Doi type models for suspensions
David Gérard-Varet, Richard M. Höfer
Starting from microscopic particle systems, we study the derivation of Doi type models for suspensions of non-spherical particles in Stokes flows. While Doi models accurately d…
math.AP2025
Derivation of a Multiscale Ferrofluid Model: Superparamagnetic Behavior due to Fast Spin Flip
Alexandre Girodoux-Lavigne, Richard M. Höfer
We consider a microscopic model of magnetic nanoparticles in a Stokes flow. We assume that the temperature is above the critical Néel temperature such that the particles' magn…