Attractors of the Navier–Stokes Equations in a Two-Dimensional Porous Medium

Bekmaganbetov K.A. Toleubai A.M. Chechkin G.A.
April 2022 Springer

Journal of Mathematical Sciences (United States)
2022 #262 Issue 3 246 - 261 pp.

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.

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Kazakhstan Branch of Lomonosov Moscow State University, 11, Kazhymukan St., Nur-Sultan, 010010, Kazakhstan
Institute of Mathematics and Mathematical Modeling MES RK, 125, Pushkina St, Almaty, 050010, Kazakhstan
L. N. Gumilev Eurasian National University, 2, Satpaev St., Nur-Sultan, 010008, Kazakhstan
Lomonosov Moscow State University, Moscow, 119991, Russian Federation
Institute of Mathematics with Computing Center, 112, Chernyshevskogo St, Ufa, 450008, Russian Federation

Kazakhstan Branch of Lomonosov Moscow State University
Institute of Mathematics and Mathematical Modeling MES RK
L. N. Gumilev Eurasian National University
Lomonosov Moscow State University
Institute of Mathematics with Computing Center

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