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Multiphase double-porosity homogenization for perimeter functionals

By Margherita Solci


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 <i>R<sup>n</sup></i>\<i>E</i> is composed of disjoint compact components. Assuming <i>E</i> to be the union of a finite number <i>N</i> of connected components <i>E</i>1, ..., <i>E<sup>N</sup></i>, the Γ-limit <i>F</i> is a <i>multiphase</i> energy with a ’decoupled’ surface part, obtained by homogenization from the surface tensions in each <i>E<sup>j</sup></i>, 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

Topics: MAT/05 Analisi matematica
Publisher: Wiley
Year: 2012
DOI identifier: 10.1002/mma.1600
OAI identifier:
Provided by: UnissResearch
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