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math.AP2025

Reiterated -Convergence In Orlicz Setting and Applications

J. Dongho, Joel Fotso Tachago, H. Nnang +1

The concept of reiterated -convergence (and more generally of multiscale -convergence) is extended to framework of Orlicz-Sobolev spaces, in order to deals with homogenizatio…

math.AP2024

Stochastic-periodic homogenization of Poisson-Nernst-Planck equations in porous media

Franck Tchinda, Joel Fotso Tachago, Joseph Dongho +1

This paper is devoted to the study of the stochastic-periodic homogenization of Poisson-Nernst-Planck equations in porous media. It is shown by the stochastic two-scale convergence…

math.AP2024

Reiterated Periodic Homogenization of Parabolic Monotone Operators with Nonstandard Growth

Franck Tchinda, Joel Fotso Tachago, Joseph Dongho

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 a…

math.AP2023

Two-scale convergence on forms in Riemannian manifolds and homogenization of an integral functional on Orlicz-Sobolev's spaces

Franck Arnold Tchinda, Joel Fotso Tachago, Joseph Dongho

We extend the concept of two-scale convergence on forms in Orlicz-Sobolev's spaces and we describe the homogenization for a family of integral functionals with convex and nonstanda…

math.AP2023

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

Dongho Joseph, Fotso Tachago Joel, Tchinda Takougoum Franck

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 i…