On attractors of 2D Navier–Stockes system in a medium with anisotropic variable viscosity and periodic obstacles

K. A. Bekmaganbetov   ; A. M. Toleubai   ; G. A. Chechkin

Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 50, Tome 519 (2022), pp. 10-34

Résumé

A two-dimensional Navier–Stokes system of equations in a porous medium with an anisotropic variable viscosity with rapidly oscillating terms in the equations and in the boundary conditions, is considered. It is proved that the trajectory attractors of this system tend in a certain weak topology to the trajectory attractors of the homogenized Navier–Stokes system of equations with an additional potential.

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