On the homogenization of the Stokes problem in a perforated domain
Analysis of PDEs
2018-06-06 v4
Abstract
We consider the Stokes equations on a bounded perforated domaincompleted with non-zero constant boundary conditions on the holes. We investigate configurations forwhich the holes are identical spheres and their number N goes to infinity while their radius1/N tends to zero. We prove that, under the assumption that there is no concentrationin the distribution of holes, the solution is well approximated asymptotically by solving aStokes-Brinkman problem.
Keywords
Cite
@article{arxiv.1604.04379,
title = {On the homogenization of the Stokes problem in a perforated domain},
author = {Matthieu Hillairet},
journal= {arXiv preprint arXiv:1604.04379},
year = {2018}
}