$\Gamma$-convergence and stochastic homogenization of integral functionals defined on measures

HAL (Le Centre pour la Communication Scientifique Directe) 2026 Preprint Open access

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Authors: Anza Hafsa, Omar, Mandallena, Jean-Philippe, Michaille, Gérard
Cited by: 0

Abstract

We study the $\Gamma$-convergence of nonconvex integral functionals defined on vector-valued Radon measures. Using local minimization problems rather than convex duality, we establish an integral representation of the $\Gamma$-limit. This framework is applied to stochastic homogenization, yielding explicit homogenization formulas.

Fields of Study & Subjects

Advanced Mathematical Modeling in Engineering Composite Material Mechanics Nonlinear Partial Differential Equations

Publication details

Journal / source
HAL (Le Centre pour la Communication Scientifique Directe)
Publication date
24 March 2026
Language
EN
Document type
Preprint