We study the asymptotic behaviour of highly oscillating functionals in finely perforated domains, when the periods of the oscillation and of the perforation may be at different scales. We highlight two types of regimes: in the first one we have separation of scales and the two process superimpose. In the second one the scales interact in a periodic or almost-periodic fashion; as a consequence we may not have a unique limit behaviour.
Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media / Ansini, Nadia; A., Braides. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - 65:1-3(2001), pp. 59-81. [10.1023/a:1010623204139]
Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media
ANSINI, NADIA;
2001
Abstract
We study the asymptotic behaviour of highly oscillating functionals in finely perforated domains, when the periods of the oscillation and of the perforation may be at different scales. We highlight two types of regimes: in the first one we have separation of scales and the two process superimpose. In the second one the scales interact in a periodic or almost-periodic fashion; as a consequence we may not have a unique limit behaviour.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
