A closure theorem for gAMMA-convergence and H-convergence with applications to non-periodic homogenization

dc.contributor.author	Braides, Andrea
dc.contributor.author	Dal Maso, Gianni
dc.contributor.author	Le Bris, Claude
dc.date.accessioned	2024-02-29T11:07:36Z
dc.date.available	2024-02-29T11:07:36Z
dc.date.issued	2024-02-29
dc.description	SISSA 3/2024/MATE
dc.description.abstract	In this work we examine the stability of some classes of integrals, and in particular with respect to homogenization. The prototypical case is the homogenization of quadratic energies with periodic coe cients perturbed by a term vanishing at in nity, which has been recently examined in the framework of elliptic PDE.We use localization techniques and higher-integrability Meyers-type results to provide a closure theorem by gamma-convergence within a large class of integral functionals. From such result we derive stability theorems in homogenization which comprise the case of perturbations with zero average on the whole space. The results are also extended to the stochastic case, and specialized to the G-convergence of operators corresponding to quadratic forms. A corresponding analysis is also carried on for non-symmetric operators using the localization properties of H-convergence. Finally, we treat the case of perforated domains with Neumann boundary condition, and their stability.
dc.identifier.uri	https://openscience.sissa.it/handle/1963/35471
dc.language.iso	en
dc.title	A closure theorem for gAMMA-convergence and H-convergence with applications to non-periodic homogenization
dc.type	Preprint

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