RANDOM DOUBLE-POROSITY MODEL

Authors
BOURGEAT A MIKELIC A PIATNITSKI A
Citation
A. Bourgeat et al., RANDOM DOUBLE-POROSITY MODEL, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(1), 1998, pp. 99-104
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
327
Issue
1
Year of publication
1998
Pages
99 - 104
Database
ISI
SICI code
0764-4442(1998)327:1<99:>2.0.ZU;2-8
Abstract
We consider a weakly compressible single phase fluid flow through a ra ndomly fissured porous medium. Under standard assumptions of the stoch astic homogenization theory we obtain the stochastic version of the pe riodic case. The basic tool is the stochastic two-scale convergence. T he source-like terms are given by the coupling with a newly introduced stochastic auxiliary problem. (C) Academie des Sciences/Elsevier, Par is.