ATTRACTORS OF THE NAVIER–STOKES EQUATIONS IN A TWO-DIMENSIONAL POROUS MEDIUM

Abstract

In a perforated domain, we consider the two-dimensional system of Navier–Stokes equations with rapidly oscillating terms in the equations and boundary conditions. We prove that the trajectory attractors of this system converge in some weak topology to trajectory attractors of the homogenized Navier–Stokes equations with an additional potential. Bibliography: 11 titles. Illustrations: 1 figure.