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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 8, Pages 65–80
DOI: https://doi.org/10.26907/0021-3446-2024-8-65-80
(Mi ivm10007)
 

Uniform attractors for the Bingham model

A. S. Ustiuzhaninova

Voronezh State University, 1 Universitetskay sq., Voronezh, 394018 Russia
References:
Abstract: In this paper, on the base of the theory of attractors for non-invariant trajectory spaces, the limiting behavior of solutions to a periodic in spatial variables problem for the Bingham model is investigated. For the considered problem, necessary exponential estimates are established, the trajectory space is determined, and the existence of a minimal uniform trajectory and uniform global attractors is proved.
Keywords: Bingham model, uniform attractor, minimal trajectory attractor, trajectory space, exponential estimate, weak solution.
Funding agency Grant number
Russian Science Foundation 22-11-00103
Работа выполнена при поддержке Российского научного фонда (проект № 22-11-00103).
Received: 26.09.2023
Revised: 26.09.2023
Accepted: 26.12.2023
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. S. Ustiuzhaninova, “Uniform attractors for the Bingham model”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 8, 65–80
Citation in format AMSBIB
\Bibitem{Ust24}
\by A.~S.~Ustiuzhaninova
\paper Uniform attractors for the Bingham model
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 8
\pages 65--80
\mathnet{http://mi.mathnet.ru/ivm10007}
\crossref{https://doi.org/10.26907/0021-3446-2024-8-65-80}
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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