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February  2021, 20(2): 533-545. doi: 10.3934/cpaa.2020279

## Homogenization and singular perturbation in porous media

 Departmant of mathematics, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

* Corresponding author

Received  April 2020 Revised  September 2020 Published  February 2021 Early access  December 2020

Fund Project: The authors of this work have been supported by the Croatian Science Foundation (grant: 2735 Asymptotic analysis of the boundary value problems in continuum mechanics - AsAn)

We study a Dirichlet problem in periodic porous medium depending on two small parameters, the hydraulic permeability of the porous inclusions $\delta$ and the period $\varepsilon$. We study the situation as $\delta\to 0 \;, \; \varepsilon\to 0$ and $\varepsilon \to 0 \;, \; \delta\to 0$ and prove that the two limits do not commute.

Citation: Eduard Marušić-Paloka, Igor Pažanin. Homogenization and singular perturbation in porous media. Communications on Pure & Applied Analysis, 2021, 20 (2) : 533-545. doi: 10.3934/cpaa.2020279
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