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Homogenization of the heat equation in multilayers with interlayer conduction

Published online by Cambridge University Press:  09 February 2007

Kévin Santugini-Repiquet
Kévin Santugini-Repiquet
Affiliation:
Laboratoire d'Analyse, Géométrie et Applications, Institut Galilée, 99 avenue J. B. Clément, 93430 Villetaneuse, Paris 13, France Section de mathématiques, Université de Genève, 2–4 rue du Lièvre, 1211 Genève 4, Switzerland ([email protected])
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Abstract

We study homogenization processes for the heat equation in multilayers with interlayer conduction, modelled by Neumann transmission conditions. We establish the homogenized equations for three kinds of dependency of the interlayer conduction magnitude upon the interlayer distance.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 1 , February 2007 , pp. 147 - 181
Copyright
2007 Royal Society of Edinburgh

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