Inserted: 17 dec 2001
Last Updated: 5 dec 2005
Journal: Acta Appl. Math.
We study the asymptotic behaviour of highly oscillating functionals in finely perforated domains, when the periods of oscillation and 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.
Keywords: Homogenization, Gamma-convergence, capacity, multiple scales, perforated media, almost periodic