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Stochastic two-scale convergence in the mean in Orlicz-Sobolev’s spaces and applications to the homogenization of an integral func- tional

Article scientifique 2023 Anglais

Résumé

Abstract In this paper, we study the stochastic homogenization for a family of functionals with convex and nonstandard growth integrands defined on Orlicz-Sobolev’s spaces. One fundamental in this topic is to extend the classical compactness results of the two-scale convergence method in the mean to this type of spaces. This problematic relies on the notion of dynamical system which is our basic tool. Mathematics Subject Classification (2010). 35B27, 35B40, 37A05, 37A55.

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Tchinda, F., Tachago, J., Dongho, J. (2023). Stochastic two-scale convergence in the mean in Orlicz-Sobolev’s spaces and applications to the homogenization of an integral func- tional. https://doi.org/10.21203/rs.3.rs-3770228/v1

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Auteur(s)

Franck Tchinda Joel Fotso Tachago Joseph Dongho

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