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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 2, Pages 330–341
DOI: https://doi.org/10.31857/S0044466922020120 (Mi zvmmf11364) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical physics

Convergence of attractors for an approximation to attractors of a modified Kelvin–Voigt model

M. V. Turbin, A. S. Ustiuzhaninova

Voronezh State University, 394018, Voronezh, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466922020120
Abstract: The qualitative behavior of solutions to a modified Kelvin–Voigt model is studied. An approximation of this model is considered, and the existence of a minimal trajectory attractor and a global attractor for both the model and its approximation is proved. Next, the trajectory and global attractors of the approximation are shown to converge to the trajectory and global attractors of the original model in the sense of the Hausdorff semidistance in corresponding spaces as the approximation parameter tends to zero.
Key words: attractors, convergence of attractors, trajectory space, modified Kelvin–Voigt model, weak solution.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00051
Ministry of Education and Science of the Russian Federation FZGU-2020-0035
Turbin’s research was supported by the Russian Foundation for Basic Research (project no. 20-01-00051), and Ustiuzhaninova’s research was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. FZGU-2020-0035).
Received: 30.04.2021
Revised: 10.07.2021
Accepted: 12.10.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 2, Pages 325–335
DOI: https://doi.org/10.1134/S0965542522020117
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: M. V. Turbin, A. S. Ustiuzhaninova, “Convergence of attractors for an approximation to attractors of a modified Kelvin–Voigt model”, Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022), 330–341; Comput. Math. Math. Phys., 62:2 (2022), 325–335
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    1. A. S. Ustyuzhaninova, “Ravnomernye attraktory modeli Bingama”, Izv. vuzov. Matem., 2024, no. 8, 65–80  mathnet  crossref
    2. A. S. Ustiuzhaninova, “Uniform Attractors for the Bingham Model”, Russ Math., 68:8 (2024), 56  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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