Publications

Richard M. Höfer, Šárka Necasová, Florian Oschmann. Quantitative homogenization of the compressible Navier-Stokes equations towards Darcy’s law. arxiv:2403.1261 (2024)

Richard M. Höfer and Richard Schubert. Sedimentation of particles with very small inertia II: Derivation, Cauchy problem and hydrodynamic limit of the Vlasov-Stokes equation. arXiv:2311.01891 (2023)

Mitia Duerinckx, Lucas Ertzbischoff, Alexandre Girodroux-Lavigne, Richard M. Höfer. Hydrodynamic limit of multiscale viscoelastic models for rigid particle suspensions. arXiv:2311.01891 (2023)

Richard M. Höfer and Richard Schubert. Sedimentation of particles with very small inertia I: Convergence to the transport-Stokes equation. To appear in Duke Math. J. (2024)

Matthieu Hillairet, Richard M. Höfer. Hindered settling of well-separated particle suspensions. Pure and Applied Analysis, Vol. 6, pp. 581–609 (2024)

Richard M. Höfer, Jonas Jansen. Convergence rates and fluctuations for the Stokes–Brinkman equations as homogenization limit in perforated domains, Arch. Rational Mech. Anal., Vol. 248 (2024)

Richard M. Höfer, Raphael Winter. A fast point charge interacting with the screened Vlasov-Poisson system. To appear in Analysis&PDE (2024)

Richard M. Höfer, Amina Mecherbet, Richard Schubert. Non-existence of mean-field models for particle orientations in suspensions, Journal of Nonlinear Science, Vol.34, 3, (2024)

Richard M. Höfer, Marta Leocata, Amina Mecherbet. Derivation of the viscoelastic stress in  Stokes flows induced by non-spherical Brownian rigid particles through homogenization, Pure and Applied Analysis, Vol.5, pp. 409–460 (2023)

Richard. M. Höfer. Homogenization of the Navier-Stokes equations in perforated domains in the invicid limit, Nonlinearity, Vol.36, 6019 (2023)

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)

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)