Logo image
Se connecter
L-P ESTIMATES FOR THE HOMOGENIZATION OF STOKES PROBLEM IN A PERFORATED DOMAIN
Article de revue   Avec comité de lecture

L-P ESTIMATES FOR THE HOMOGENIZATION OF STOKES PROBLEM IN A PERFORATED DOMAIN

Amina Mecherbet et Matthieu Hillairet
Journal of the Institute of Mathematics of Jussieu, Vol.19(1), pp.231-258
01/01/2020

Résumé

Mathematics Physical Sciences Science & Technology
In this paper, we consider the Stokes equations in a perforated domain. When the number of holes increases while their radius tends to 0, it is proven in Desvillettes et al. [J. Stat. Phys. 131 (2008) 941{967], under suitable dilution assumptions, that the solution is well approximated asymptotically by solving a Stokes{Brinkman equation. We provide here quantitative estimates in L p -norms of this convergence.

Indicateurs

1 Consultations de la notice

Détails

Logo image