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

TL;DR

This paper investigates the stochastic-periodic homogenization of Poisson-Nernst-Planck equations in porous media, deriving a homogenized problem with effective coefficients using an extended stochastic two-scale convergence method.

Contribution

It introduces an extended stochastic two-scale convergence approach for homogenizing Poisson-Nernst-Planck equations in porous media with stochastic-periodic structures.

Findings

Derivation of a global homogenized problem with effective coefficients

Extension of stochastic two-scale convergence to periodic surfaces

Validation of homogenization results in porous media context

Abstract

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 method extended to periodic surfaces that results in a global homogenized problem having suitable coefficients.