Asymptotic Behavior of Attractors of the Two-Dimensional Navier–Stokes System in a Domain with Small Periodic Obstacles
Toleubay A.M.
March 2024Springer
Journal of Mathematical Sciences (United States)
2024#279Issue 4550 - 562 pp.
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.
Text of the article Перейти на текст статьи
L. N. Gumilyov Eurasian National University, 2, Satbev St, Astana, 10000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125, Pushkina St, Almaty, 050010, Kazakhstan
L. N. Gumilyov Eurasian National University
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026