Article
Darcy's laws for non-stationary viscous fluid flow in a thin porous medium
Author/s | Anguiano Moreno, María |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2017 |
Deposit Date | 2024-05-03 |
Abstract | We consider a non-stationary Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically solid cylinders of size aε. We are interested here to give the limit behavior when ε goes to zero. ... We consider a non-stationary Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically solid cylinders of size aε. We are interested here to give the limit behavior when ε goes to zero. To do so, we apply an adaptation of the unfolding method. Time-dependent Darcy’s laws are rigorously derived from this model depending on the comparison between aε and ε. |
Funding agencies | Junta de Andalucía European Research Council (ERC) |
Project ID. | P12-FQM-2466
H2020-EU.1.1.-639227 |
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