Darcy's laws for non‐stationary viscous fluid flow in a thin porous medium |
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Authors: | Maria Anguiano |
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Institution: | Departamento de Análisis Matemático, Universidad de Sevilla, Sevilla, Spain |
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Abstract: | We consider a non‐stationary Stokes system in a thin porous medium Ω? of thickness ? which is perforated by periodically solid cylinders of size a ? . We are interested here to give the limit behavior when ? 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 a ? and ? . Copyright © 2016 John Wiley & Sons, Ltd. |
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Keywords: | homogenization non‐stationary stokes equation Darcy's law Brinkman's law porous medium thin fluid films |
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