On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles
Bekmaganbetov K.A. Toleubay A.M. Chechkin G.A.
August 2023Pleiades Publishing
Doklady Mathematics
2023#108Issue 1277 - 281 pp.
Abstract: The two-dimensional system of Navier–Stokes equations in a medium with anisotropic variable viscosity and periodic small obstacles is considered. It is proved that the trajectory attractors of the system tend in a certain weak topology to the trajectory attractors of the homogenized system of Navier–Stokes equations with an additional potential in a medium without obstacles.
anisotropic medium , attractors , homogenization , nonlinear equations , perforated domain , rapidly oscillating terms , system of Navier–Stokes equations , weak convergence
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Lomonosov Moscow State University, Kazakhstan Branch, Astana, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Gumilyov Eurasian National University, Astana, Kazakhstan
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation
Institute of Mathematics with Computer Center, Division of the Ufa Federal Research Center of the Russian Academy of Sciences, Ufa, Russian Federation
Lomonosov Moscow State University
Institute of Mathematics and Mathematical Modeling
Gumilyov Eurasian National University
Faculty of Mechanics and Mathematics
Institute of Mathematics with Computer Center
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