Title | ||
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Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. |
Abstract | ||
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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 |
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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 Anguiano | 1 | 0 | 0.34 |
Francisco Javier Suárez-Grau | 2 | 0 | 0.68 |