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Matematicheskie Zametki, 2016, Volume 99, Issue 5, Pages 764–777
DOI: https://doi.org/10.4213/mzm10624 (Mi mzm10624) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the Homogenization Principle in a Time-Periodic Problem for the Navier–Stokes Equations with Rapidly Oscillating Mass Force

V. L. Khatskevich

Voronezh State University
Full-text PDF (500 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm10624
Abstract: 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.
Received: 08.08.2014
Revised: 19.10.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 5, Pages 757–768
DOI: https://doi.org/10.1134/S0001434616050138
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. L. Khatskevich, “On the Homogenization Principle in a Time-Periodic Problem for the Navier–Stokes Equations with Rapidly Oscillating Mass Force”, Mat. Zametki, 99:5 (2016), 764–777; Math. Notes, 99:5 (2016), 757–768
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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