NONLINEAR EFFECTS FOR FLOW IN PERIODICALLY CONSTRICTED CHANNEL CAUSEDBY HIGH INJECTION RATE

Authors
BOURGEAT A MARUSICPALOKA E
Citation
A. Bourgeat et E. Marusicpaloka, NONLINEAR EFFECTS FOR FLOW IN PERIODICALLY CONSTRICTED CHANNEL CAUSEDBY HIGH INJECTION RATE, Mathematical models and methods in applied sciences, 8(3), 1998, pp. 379-405
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
8
Issue
3
Year of publication
1998
Pages
379 - 405
Database
ISI
SICI code
0218-2025(1998)8:3<379:NEFFIP>2.0.ZU;2-M
Abstract
We consider a stationary viscous incompressible how through a periodic ally constricted channel with the period and thickness epsilon, govern ed by a strong injection of order epsilon(-1). We prove the well-posed ness of the homogenized problem and the convergence of the homogenizat ion process. We obtain a nonlinear filtration law and we give the Tayl or expansion of the filtration velocity as a function of the pressure gradient.