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Uniform attractors for the Bingham model
A. S. Ustiuzhaninova Voronezh State University, 1 Universitetskay sq., Voronezh, 394018 Russia
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.
Received: 26.09.2023 Revised: 26.09.2023 Accepted: 26.12.2023
Citation:
A. S. Ustiuzhaninova, “Uniform attractors for the Bingham model”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 8, 65–80
Linking options:
https://www.mathnet.ru/eng/ivm10007 https://www.mathnet.ru/eng/ivm/y2024/i8/p65
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Abstract page: | 91 | Full-text PDF : | 1 | References: | 14 | First page: | 3 |
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