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EnglishIn 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 RnnE is composed of disjoint com- pact components. Assuming E to be the union of a finite number N of connected components E1, : : : , EN, the -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 for- mula for a family minimum problems on invading an asymptotic formula for a family of minimum problems on invading domains with prescribed boundary conditions.
Multi-phase double-porosity homogenization for perimeter functionals / Solci, Margherita. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 35:5(2012), pp. 598-620. [10.1002/mma.1600]
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| Titolo: | Multi-phase double-porosity homogenization for perimeter functionals | |
| Autori: | ||
| Data di pubblicazione: | 2012 | |
| Rivista: | ||
| Citazione: | Multi-phase double-porosity homogenization for perimeter functionals / Solci, Margherita. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 35:5(2012), pp. 598-620. [10.1002/mma.1600] | |
| Handle: | http://hdl.handle.net/11388/84261 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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