# Publications

## Preprints:

Richard M. Höfer, Amina Mecherbet, Richard Schubert.

*Non-existence of mean-field models for particle orientations in suspensions.*arxiv:221015382 (2022)Richard. M. Höfer.

*Homogenization of the Navier-Stokes equations in perforated domains in the invicid limit.*arxiv:2209.06075 (2022)Richard M. Höfer, Raphael Winter.

*A fast point charge interacting with the screened Vlasov-Poisson system.*arxiv:2205.00035 (2022)Richard M. Höfer, Marta Leocata, Amina Mecherbet.

*Derivation of the viscoelastic stress in Stokes flows induced by non-spherical Brownian rigid particles through homogenization.*arXiv:2202.09317 (2022)Richard M. Höfer, Jonas Jansen.

*Fluctuations in the homogenization of the Poisson and Stokes equations in perforated domains*. arXiv:2004.04111 (2020)

## Published:

Arianna Giunti, Richard M. Höfer.

*Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains*. J. Diff. Equ., Vol. 320, pp. 399-418 (2022)Richard M. Höfer, Christophe Prange, Franck Sueur.

*Motion of several slender rigid filaments in a Stokes flow.*J. Éc. polytech., Vol. 9, pp. 327-380 (2022)Richard M. Höfer.

*Convergence of the method of reflections for particle suspensions in Stokes flows*. J. Differ. Equ., Vol. 297, pp. 81-109 (2021)Richard M. Höfer, Karina Kowalzcyk, Sebastian Schwarzacher.

*Darcy's law as low Mach and homogenization limit of a compressible fluid in perforated domains*. Math. Models Methods Appl. Sci., Vol. 31, pp. 1787-1819 (2021)Richard M. Höfer and Richard Schubert.

*The influence of Einstein's effective viscosity on sedimentation at very small particle volume fraction*. Ann. Inst. H. Poincaré Anal. Non Linéaire, Vol. 38, pp. 1897-1927 (2021)David Gérard-Varet and Richard M. Höfer.

*Mild assumptions on the derivation of Einstein's effective viscosity formula*. Commun. Partial Differ. Equ., Vol. 46, pp. 611-629 (2021)Gabriele Ciaramella and Richard M. Höfer.

*Non-geometric convergence of the classical alternating Schwarz method*. Domain Decomposition Methods in Science and Engineering XXV, Lecture Notes in Computational Science and Engineering, pp. 193-201 (2020)Arianna Giunti and Richard M. Höfer.

*Homogenization for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes*. Ann. Inst. H. Poincaré Anal. Non Linéaire, Vol. 35, pp. 1829–1868 (2019)Arianna Giunti, Richard M. Höfer and Juan J.L. Velázquez.

*Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes*. Commun. Partial. Differ. Equ., Vol. 43, pp. 1377–1412 (2018)Richard M. Höfer.

*The inertialess limit of particle sedimentation modeled by the Vlasov–Stokes equations*. SIAM J. Math. Anal., Vol. 50, pp. 5446–5476 (2018)Richard M. Höfer.

*Sedimentation of inertialess particles in Stokes flows*. Comm. Math. Phys., Vol. 360, pp. 55–101 (2018)Richard M. Höfer and Juan J.L. Velázquez.

*The method of reflections, homogenization and screening for Poisson and Stokes equations in perforated domains*. Arch. Rational Mech. Anal., Vol. 227, pp. 1165–1221 (2018)

## Theses:

Richard M. Höfer.

*Sedimentation of particle suspensions in Stokes flows*. PhD thesis, Rheinische Friedrich-Wilhelms-Universität Bonn (2019)Richard M. Höfer.

*Screening in the perforated space by the method of reflections*. Master thesis, Rheinische Friedrich-Wilhelms-Universität Bonn (2015)