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Multiphase double-porosity homogenization for perimeter functionals

Solci, Margherita (2012) Multiphase double-porosity homogenization for perimeter functionals. Mathematical Methods in the Applied Sciences, Vol. 35 (5), p. 598-620. eISSN 1099-1476. Article.

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DOI: 10.1002/mma.1600

Abstract

In this paper, we study a homogenization problem for perimeter energies in highly contrasted media; the analysis of the previous paper is carried out by removing the hypothesis that the perforated medium Rn\E is composed of disjoint compact components. Assuming E to be the union of a finite number N of connected components E1, ..., EN, the Γ-limit F is a multiphase energy with a ’decoupled’ surface part, obtained by homogenization from the surface tensions in each Ej, a trivial bulk term obtained as a weak limit, and a further interacting term between the phases, involving an asymptotic formula for a family minimum problems on invading an asymptotic formula for a family of minimum problems on invading domains with prescribed boundary conditions.

Item Type:Article
ID Code:7570
Status:Published
Refereed:Yes
Uncontrolled Keywords:Homogenization, double-porosity, multiphase materials, surface energies
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
Divisions:001 Università di Sassari > 01-a Nuovi Dipartimenti dal 2012 > Architettura, Design e Urbanistica
Publisher:Wiley
eISSN:1099-1476
Deposited On:15 May 2012 09:45

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