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

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The 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.
19 pages

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Analysis of PDEs, 35E99; 35M10; 49J45; 74B20; 74K35; 74G65; 74Q05

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http://salesiana.dossiersoluciones.com/handle/123456789/111702

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604566
 http://arxiv.org/abs/math/0604566
 Proc. Roy. Soc. Ed. Sect. A, 136 (2006) 223-243

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arXiv