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

dc.contributor.authorBraides, Andrea
dc.contributor.authorDal Maso, Gianni
dc.contributor.authorLe Bris, Claude
dc.date.accessioned2024-02-29T11:07:36Z
dc.date.available2024-02-29T11:07:36Z
dc.date.issued2024-02-29
dc.descriptionSISSA 3/2024/MATE
dc.description.abstractIn 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.urihttps://openscience.sissa.it/handle/1963/35471
dc.language.isoen
dc.titleA closure theorem for gAMMA-convergence and H-convergence with applications to non-periodic homogenization
dc.typePreprint
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