2024-05-032024-05-0320170170-4214https://hdl.handle.net/11441/157537We 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Homogenization; Non-stationary Stokes equation; Darcy’s law; Brinkman’s law; porous medium; thin fluid films.info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1002/mma.4204