Homogenization of a convection–diffusion equation in perforated domains with a weak adsorption |
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Authors: | B Amaziane M Goncharenko L Pankratov |
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Institution: | (1) Laboratoire de Mathématiques Appliquées, Université de Pau & CNRS UMR 5142, Av. de l’Université, 64000 Pau, France;(2) B. Verkin Institut des Basses Températures, 47, av. Lénine, 61103 Kharkov, Ukraine |
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Abstract: | The aim of this paper is to study the asymptotic behavior of the solution of a convection–diffusion equation in perforated
domains with oscillating velocity and a Robin boundary condition which describes the adsorption on the bord of the obstacles.
Without any periodicity assumption, for a large range of perforated media and by mean of variational homogenization, we find
the global behavior when the characteristic size ε of the perforations tends to zero. The homogenized model, is a convection–diffusion
equation but with an extra term coming from the weak adsorption boundary condition. An example is presented to illustrate
the methodology. |
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Keywords: | 35B27 74Q10 76M50 |
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