NONLINEAR LAW FOR FLOW BETWEEN 2 WAVY PLA TES

Authors
BOURGEAT A MARUSICPALOKA E
Citation
A. Bourgeat et E. Marusicpaloka, NONLINEAR LAW FOR FLOW BETWEEN 2 WAVY PLA TES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(8), 1995, pp. 1115-1120
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
8
Year of publication
1995
Pages
1115 - 1120
Database
ISI
SICI code
0764-4442(1995)321:8<1115:NLFFB2>2.0.ZU;2-N
Abstract
We consider the stationary viscous incompressible flow through a perio dically constricted chanel, with period and thickness epsilon, governe d by a strong injection of order E(-1). We prove the well posedness of the homogenized problem and the convergence of the homogenization pro cess. We obtain a non-linear filtration law and we give the Taylor's e xpansion of the filtration velocity as a function of the pressure grad ient.