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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 4, Pages 842–859
DOI: https://doi.org/10.33048/smzh.2022.63.410 (Mi smj7697) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Existence of attractors for approximations to the Bingham model and their convergence to the attractors of the initial model

V. G. Zvyagin, M. V. Turbin

Voronezh State University
Full-text PDF (408 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2022.63.410
Abstract: Considering the Bingham fluid motion model, we study the approximation problem, prove its unique solvability, and the existence of attractors. We show that the attractors of the approximation problem converge to the attractors of the Bingham model in the sense of the Hausdorff semidistance in the corresponding metric space as the approximation parameter vanishes.
Keywords: Bingham model, weak solution, trajectory attractor, global attractor, $\omega$-limit set, Hausdorff semidistance.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00051
Ministry of Science and Higher Education of the Russian Federation FZGU-2020-0035
Zvyagin was supported by the Russian Foundation for Basic Research (Grant no. 20–01–00051). Turbin was supported by the Ministry of Science and Higher Education of the Russian Federation (Grant no. FZGU–2020–0035).
Received: 09.09.2021
Revised: 09.09.2021
Accepted: 10.02.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 4, Pages 699–714
DOI: https://doi.org/10.1134/S0037446622040103
Document Type: Article
UDC: 517.958
MSC: 35R30
Language: Russian
Citation: V. G. Zvyagin, M. V. Turbin, “Existence of attractors for approximations to the Bingham model and their convergence to the attractors of the initial model”, Sibirsk. Mat. Zh., 63:4 (2022), 842–859; Siberian Math. J., 63:4 (2022), 699–714
Citation in format AMSBIB
\Bibitem{ZvyTur22}
\by V.~G.~Zvyagin, M.~V.~Turbin
\paper Existence of attractors for approximations to the Bingham model and their convergence to the attractors of the initial model
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 4
\pages 842--859
\mathnet{http://mi.mathnet.ru/smj7697}
\crossref{https://doi.org/10.33048/smzh.2022.63.410}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 4
\pages 699--714
\crossref{https://doi.org/10.1134/S0037446622040103}
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