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ON ASYMPTOTICS OF ATTRACTORS TO NAVIER-STOCKES SYSTEM IN ANISOTROPIC MEDIUM WITH SMALL PERIODIC OBSTACLES
- Authors: Bekmaganbetov К.А.1,2, Toleubay А.М.3,2, Chechkin G.А.4,5,2
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Affiliations:
- Lomonosov Moscow State University, Kazakhstan Branch
- Institute of Mathematics and Mathematical Modeling
- Eurasian National University named after L.N. Gumilyov
- Moscow State University. M.V. Lomonosov
- Institute of Mathematics with a Computer Center – a division of the Ufa Federal Research Center of the Russian Academy of Sciences
- Issue: Vol 512, No 1 (2023)
- Pages: 42-46
- Section: MATHEMATICS
- URL: https://rjeid.com/2686-9543/article/view/647883
- DOI: https://doi.org/10.31857/S2686954322600549
- EDN: https://elibrary.ru/PJZJPW
- ID: 647883
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Abstract
The paper considers a two-dimensional system of Navier–Stokes equations in medium with anisotropic variable viscosity and periodic small obstacles. It is proved that the trajectory attractors of this system tend in a certain weak topology to the trajectory attractors of the averaged system of Navier–Stokes equations with an additional potential in a medium without obstacles.
About the authors
К. А. Bekmaganbetov
Lomonosov Moscow State University, Kazakhstan Branch; Institute of Mathematics and Mathematical Modeling
Author for correspondence.
Email: bekmaganbetov-ka@yandex.kz
Kazakhstan, Astana; Kazakhstan, Almaty
А. М. Toleubay
Eurasian National University named after L.N. Gumilyov; Institute of Mathematics and Mathematical Modeling
Author for correspondence.
Email: altyn.15.94@mail.ru
Kazakhstan, Astana; Kazakhstan, Almaty
G. А. Chechkin
Moscow State University. M.V. Lomonosov; Institute of Mathematics with a Computer Center – a division of the Ufa Federal Research Centerof the Russian Academy of Sciences; Institute of Mathematics and Mathematical Modeling
Author for correspondence.
Email: chechkin@mech.math.msu.su
Russian Federation, Moscow; Russian Federation, Ufa; Kazakhstan, Almaty
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