Derivation of a Convection Process in a Steady Diffusion-Transfer Problem by Homogenization

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dc.creatorAinouz, Abdelhamid
dc.date2007-10-27
dc.date.accessioned2026-07-07T10:16:37Z
dc.date.available2026-07-07T10:16:37Z
dc.descriptionWe study the homogenization of a steady diffusion equation in a highly heterogeneous medium made of two subregions separated by a periodic barrier through which the flow is proportional to the jump of the temperature by a layer conductance of the same order of magnitude of the materials in consideration. The macroscopic governing equations and the effective conductivity of the homogenized model are obtained by means of the two scale convergence technique. We show that under some hypothesis the homogenized systems contain convective terms of order one.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0710.5222
dc.identifierhttp://arxiv.org/abs/0710.5222
dc.identifierInternational Journal of Applied Mathematics, Volume 21 No. 1 2008, 83-97
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173567
dc.subjectAnalysis of PDEs
dc.subject35B27; 35B40
dc.titleDerivation of a Convection Process in a Steady Diffusion-Transfer Problem by Homogenization
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