We consider the two-dimensional system of Navier–Stokes equations in a medium with anisotropic variable viscosity and periodic small obstacles. We show that the trajectory attractors of the system converge in the weak topology to the trajectory attractors of the homogenized system of the Navier–Stokes equations with an additional potential in the medium without obstacles.
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Translated from Problemy Matematicheskogo Analiza 126, 2024, pp. 87-97.
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Toleubay, A.M. Asymptotic Behavior of Attractors of the Two-Dimensional Navier–Stokes System in a Domain with Small Periodic Obstacles. J Math Sci 279, 550–562 (2024). https://doi.org/10.1007/s10958-024-07031-1
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DOI: https://doi.org/10.1007/s10958-024-07031-1