On the non-stationary Navier-Stokes type flows and reiterated homogenization

Abstract

We study the deterministic reiterated homogenization of the non-stationary Navier-Stokes type equations in fixed domains with periodically rapidly varying coefficients. One convergence theorem and a corrector result are proved, and we derive the macroscopic homogenized model.

arXiv commentManuscript submitted at "Journal of Mathematical Extension"