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math.AP2026
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…
math.AP2026
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…
math.AP2026
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…