Richard M. Höfer

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math.AP2025

Qualitative/quantitative homogenization of some non-Newtonian flows in perforated domains

Richard M. HÃ¶fer, 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…

math.AP2025

Propagation of chaos for first-order mean-field systems with non-attractive moderately singular interaction

Richard M. HÃ¶fer, Richard Schubert

We consider particle systems that evolve by inertialess binary interaction through general non-attractive kernels of singularity $∣ x ∣^{- I^\pm}$ with $I^\pm < d - 1$ . We prove a quantitative…

math.AP2024

Homogenization of the Navier-Stokes equations in perforated domains in the inviscid limit

Richard M. HÃ¶fer

We study the solution $u_{ε}$ to the Navier-Stokes equations in $R^{3}$ perforated by small particles centered at $(ε Z)^{3}$ with no-slip boundary co…

math.AP2024

Convergence rates and fluctuations for the Stokes-Brinkman equations as homogenization limit in perforated domains

Richard M. HÃ¶fer, Jonas Jansen

We study the homogenization of the Dirichlet problem for the Stokes equations in $R^{3}$ perforated by $m$ spherical particles. We assume the positions and velocities of the…