Uniform attractors for the Bingham model

A. S. Ustiuzhaninova

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2024), pp. 65-80

Résumé

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.

Détail

Keywords: Bingham model, uniform attractor, minimal trajectory attractor, trajectory space, exponential estimate, weak solution.

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