On the Homogenization Principle in a Time-Periodic Problem for the Navier--Stokes Equations with Rapidly Oscillating Mass Force
Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 764-777
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We study the behavior of the set of time-periodic solutions of the three-dimensional system of Navier–Stokes equations in a bounded domain as the frequency of the oscillations of the right-hand side tends to infinity. It is established that the set of periodic solutions tends to the solution set of the homogenized stationary equation.
Keywords:
system of Navier–Stokes equations, homogenization principle, Hilbert space, periodic solution, strong solution.
@article{MZM_2016_99_5_a9,
author = {V. L. Khatskevich},
title = {On the {Homogenization} {Principle} in a {Time-Periodic} {Problem} for the {Navier--Stokes} {Equations} with {Rapidly} {Oscillating} {Mass} {Force}},
journal = {Matemati\v{c}eskie zametki},
pages = {764--777},
publisher = {mathdoc},
volume = {99},
number = {5},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a9/}
}
TY - JOUR AU - V. L. Khatskevich TI - On the Homogenization Principle in a Time-Periodic Problem for the Navier--Stokes Equations with Rapidly Oscillating Mass Force JO - Matematičeskie zametki PY - 2016 SP - 764 EP - 777 VL - 99 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a9/ LA - ru ID - MZM_2016_99_5_a9 ER -
%0 Journal Article %A V. L. Khatskevich %T On the Homogenization Principle in a Time-Periodic Problem for the Navier--Stokes Equations with Rapidly Oscillating Mass Force %J Matematičeskie zametki %D 2016 %P 764-777 %V 99 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a9/ %G ru %F MZM_2016_99_5_a9
V. L. Khatskevich. On the Homogenization Principle in a Time-Periodic Problem for the Navier--Stokes Equations with Rapidly Oscillating Mass Force. Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 764-777. http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a9/