Title
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions.
Abstract
We consider the Stokes system in a thin porous medium Omega(epsilon) of thickness epsilon which is perforated by periodically distributed solid cylinders of size epsilon. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter gamma. The aim is to give the asymptotic behavior of the velocity and the pressure of the fluid as epsilon goes to zero. Using an adaptation of the unfolding method, we give, following the values of gamma, different limit systems.
Year
DOI
Venue
2019
10.3934/nhm.2019012
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
DocType
Volume
Homogenization,Stokes system,Darcy's law,thin porous medium,non-homogeneous slip boundary condition
Journal
14
Issue
ISSN
Citations 
2
1556-1801
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
María Anguiano100.34
Francisco Javier Suárez-Grau200.68