Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Richard M. Höfer"'
Autor:
Arianna Giunti, Richard M. Höfer
Publikováno v:
Journal of Differential Equations. 320:399-418
We consider the homogenization to the Brinkman equations for the incompressible Stokes equations in a bounded domain which is perforated by a random collection of small spherical holes. This problem has been studied by the same authors in [A. Giunti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ec4561dc6383bfa60ab891a58916f12
https://doi.org/10.1016/j.jde.2022.03.003
https://doi.org/10.1016/j.jde.2022.03.003
Autor:
Richard M. Höfer
Publikováno v:
Journal of Differential Equations. 297:81-109
We study the convergence of the method of reflections for the Stokes equations in domains perforated by countably many spherical particles with boundary conditions typical for the suspension of rigid particles. We prove that a relaxed version of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bdf57f29d3a0c886da1697e74c52e36
https://doi.org/10.1016/j.jde.2021.06.020
https://doi.org/10.1016/j.jde.2021.06.020
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 31:1787-1819
We consider the homogenization limit of the compressible barotropic Navier–Stokes equations in a three-dimensional domain perforated by periodically distributed identical particles. We study the regime of particle sizes and distances such that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d8f8f5cb9f179f7e604e7ccee327f66
https://doi.org/10.1142/s0218202521500391
https://doi.org/10.1142/s0218202521500391
Autor:
David Gérard-Varet, Richard M. Höfer
Publikováno v:
Communications in Partial Differential Equations. 46:611-629
We provide a rigorous derivation of Einstein’s formula for the effective viscosity of dilute suspensions of n rigid balls, n ≫ 1 , set in a volume of size 1. So far, most justifications were carrie...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3e90106fe5572c4084cb8846c23b7b7
https://doi.org/10.1080/03605302.2020.1850780
https://doi.org/10.1080/03605302.2020.1850780
We investigate the dynamics of several slender rigid bodies moving in a flow driven by the three-dimensional steady Stokes system in presence of a smooth background flow. More precisely we consider the limit where the thickness of these slender rigid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a4345a166f886500bf2c16ab5844691
https://hal.archives-ouvertes.fr/hal-03264956
https://hal.archives-ouvertes.fr/hal-03264956
Autor:
Richard M. Höfer, Richard Schubert
We investigate the sedimentation of identical inertialess spherical particles in a Stokes fluid in the limit of many small particles. It is known that the presence of the particles leads to an increase of the effective viscosity of the suspension. By
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fec809e4782d6f6bee6935a154346376
http://arxiv.org/abs/2008.04813
http://arxiv.org/abs/2008.04813
Autor:
Richard M. Höfer, Gabriele Ciaramella
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030567491
published
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::132e5e109fa5216655433154b676adb3
Autor:
Richard M. Höfer
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:5446-5476
We study the Vlasov-Stokes equations which macroscopically model the sedimentation of a cloud of particles in a fluid, where particle inertia are taken into account but fluid inertia are assumed to be negligible. We consider the limit when the inerti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1aed7c933e342e0299b3fb93b646a76
https://doi.org/10.1137/18m1165554
https://doi.org/10.1137/18m1165554
Autor:
Richard M. Höfer, Juan J. L. Velázquez
Publikováno v:
Archive for Rational Mechanics and Analysis. 227:1165-1221
We study the convergence of the Method of Reflections for the Dirichlet problem of the Poisson and the Stokes equations in perforated domains which consist in the exterior of balls. We prove that the method converges if the balls are contained in a b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66b821339b7003a25a4db979dddbac77
https://doi.org/10.1007/s00205-017-1182-4
https://doi.org/10.1007/s00205-017-1182-4
This paper deals with the homogenization of the Poisson equation in a bounded domain of $\mathbb{R}^d$, $d>2$, which is perforated by a random number of small spherical holes with random radii and positions. We show that for a class of stationary sho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed1a4e0bf6f9518f1c99906703708e89