3D-2D analysis of a thin film with periodic microstructure

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dc.creatorBabadjian, Jean-Francois
dc.creatorBaia, Margarida
dc.date2006-04-26
dc.date.accessioned2026-07-07T07:11:17Z
dc.date.available2026-07-07T07:11:17Z
dc.descriptionThe purpose of this article is to study the behavior of a heterogeneous thin film whose microstructure oscillates on a scale that is comparable to that of the thickness of the domain. The argument is based on a 3D-2D dimensional reduction through a $Γ$-convergence analysis, techniques of two-scale convergence and a decoupling procedure between the oscillating variable and the in-plane variable.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0604566
dc.identifierhttp://arxiv.org/abs/math/0604566
dc.identifierProc. Roy. Soc. Ed. Sect. A, 136 (2006) 223-243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111702
dc.subjectAnalysis of PDEs
dc.subject35E99; 35M10; 49J45; 74B20; 74K35; 74G65; 74Q05
dc.title3D-2D analysis of a thin film with periodic microstructure
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