Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media

Authors
Ansini, N Braides, A
Citation
N. Ansini et A. Braides, Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media, ACT APPL MA, 65(1-3), 2001, pp. 59-81
Citations number
20
Categorie Soggetti
Mathematics
Journal title
ACTA APPLICANDAE MATHEMATICAE
ISSN journal
01678019 → ACNP
Volume
65
Issue
1-3
Year of publication
2001
Pages
59 - 81
Database
ISI
SICI code
0167-8019(200101)65:1-3<59:SOSAAE>2.0.ZU;2-N
Abstract
We study the asymptotic behaviour of highly oscillating functionals in fine ly perforated domains, when the periods of the oscillation and of the perfo ration may be at different scales. We highlight two types of regimes: in th e first one we have separation of scales and the two process superimpose. I n the second one the scales interact in a periodic or almost-periodic fashi on; as a consequence we may not have a unique limit behaviour.