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Homogenization in perforated domains: a Stokes grill and an adsorption process

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

 Editorial: Gordon and Breach

 Fecha de publicación: 01/10/2018

 Nº de páginas: 27

 Tipo de publicación: Artículo de Revista

 DOI: 10.1080/00036811.2017.1395863

 ISSN: 0003-6811,1563-504X,1026-7360

 Proyecto español: MTM2013-44883-P

 Url de la publicación: http://www.tandfonline.com/doi/abs/10.1080/00036811.2017.1395863?journalCode=gapa20