Justification of the averaging method for a system of equations with the Navier–Stokes operator in the principal part

DOI10.1090/S1061-0022-2014-01331-3zbMath1318.35066MaRDI QIDQ5254403

V. B. Levenshtam

Publication date: 9 June 2015

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

partial differential equationsaveraging methodrapidly oscillating summandsNavier-Stokes operator

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30)

Related Items

On the homogenization principle in a time-periodic problem for the Navier-Stokes equations with rapidly oscillating mass force ⋮ On the stability of periodic solutions of a model Navier-Stokes equation in a thin layer ⋮ Averaging principle for multiscale nonautonomous random 2D Navier-Stokes system ⋮ Efficient Approximation of Flow Problems With Multiple Scales in Time ⋮ High-frequency asymptotics of solutions of ODE in a Banach space

Cites Work

• The averaging method in the convection problem with high-frequency oblique vibrations
• Justification of the averaging method for parabolic equations containing rapidly oscillating terms with large amplitudes
• Asymptotic integration of the Navier-Stokes system with a rapidly oscillating mass force
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