A variational approach to double‐porosity problems
Andrea Braides, Valeria Chiadò Piat, Andrey Lvovich Piatnitski · Asymptotic Analysis · 2004
In this paper we outline an approach by Gamma-convergence to some ‘double-porosity' homogenization problems for integral funzionals defined on (mutually disconnected) highly oscillating connected sets (hard components), in whose complement (soft component) an energy density satisfying weaker coerciveness conditions is considered. We compute and compare the Gamma-limits with respect to different notions of convergence: strong convergence on hard components, strong convergence on the whole domain, week convergence on the whole domain