Homogenization of random Navier-Stokes-type system for electrorheological fluid

TL;DR

This paper develops a homogenized model for a Navier-Stokes-type system describing electrorheological fluids with random properties, proving convergence and analyzing the structure of the limit equations under non-standard growth conditions.

Contribution

It introduces a novel homogenization approach for stochastic Navier-Stokes systems modeling electrorheological fluids with complex growth behaviors.

Findings

Established convergence of the homogenized model

Derived the structure of the limit equations

Addressed non-standard growth conditions

Abstract

The paper deals with homogenization of Navier-Stokes-type system describing electrorheologial fluid with random characteristics. Under non-standard growth conditions we construct the homogenized model and prove the convergence result. The structure of the limit equations is also studied