Stochastic-Periodic Homogenization of a Class of Minimization Problems in Orlicz-Sobolev Spaces

2023/11/13 by Joseph Dongho, Joseph, Dongho, Fotso Tachago Joel +3
Computer Science · Engineering · #35B27 #35B40 #37A05 #46E30 #49J55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2311.10103

openalex publication_date 2023/11/13 · openalex created_date 2023/11/21 · openalex updated_date 2026/07/28

Abstract

We develop the stochastic two-scale convergence method in the framework of Orlicz-Sobolev spaces, in order to deal with the homogenization of coupled stochastic-periodic problems in such spaces. One fundamental in this topic is the extension of compactness results for this method to the Orlicz setting. For the application, we show that the sequence of minimizers of a class of highly oscillatory minimizations problems involving integral functionals with convex and nonstandard growth integrands, converges to the minimizer of a homogenized problem.

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