Reiterated Periodic Homogenization of Parabolic Monotone Operators with Nonstandard Growth

Abstract

In this paper, we are interested in reiterated periodic homogenization for a family of parabolic problems with nonstandard growth monotone operators leading to Orlicz spaces. The aim of this work is the determination of the global homogenized problem on the one hand and the macroscopic homogenized problem on the other hand, via the reiterated two-scale convergence method adapted to this type of spaces.

31 pages. arXiv admin note: text overlap with arXiv:2110.02882