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Abstract: We address the homogenization of a model for the diffusion of a substance through an incompressible fluid in a perforated domain , . The perforations (obstacles for the fluid) are periodically placed along a surface . Their size is much smaller than the period . An adsorption phenomenon can occur on the boundaries of the perforations, where we assume a nonlinear law with a large adsorption parameter. The unknowns of the problem are the velocity of the fluid and the concentration of the substance. Using matched asymptotic expansions, we obtain the homogenized models which depend on the relations between the parameters , sizes and adsorption. In particular, we extend the results in the literature for non-homogeneous data on the velocity and general shapes of perforations for the adsorption problem.
Fuente: Applicable Analysis, 2018, 97(16), 2893-2919
Publisher: Gordon and Breach
Publication date: 01/10/2018
No. of pages: 27
Publication type: Article
DOI: 10.1080/00036811.2017.1395863
ISSN: 0003-6811,1563-504X,1026-7360
Spanish project: MTM2013-44883-P
Publication Url: http://www.tandfonline.com/doi/abs/10.1080/00036811.2017.1395863?journalCode=gapa20
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DELFINA GOMEZ GANDARILLAS
MIGUEL LOBO HIDALGO
MARIA EUGENIA PEREZ MARTINEZ
SANCHEZ-PALENCIA, ÉVARISTE
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