Geodesic
Uniform attractors for the Kelvin—Voigt model taking into account memory along fluid motion trajectories
Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 4, pp. 152-165 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is devoted to the study of the qualitative behavior of solutions for the Kelvin—Voigt model taking into account memory along fluid motion trajectories. Namely, based on the theory of attractors of noninvariant trajectory spaces, for the model under consideration in the nonautonomous case the existence of a uniform trajectory and a uniform global attractor is proved under certain conditions on the coefficients.
Keywords: uniform attractor, trajectory space, Kelvin—Voigt model, memory along fluid trajectories, exponential estimate. 
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     title = {Uniform attractors for the {Kelvin{\textemdash}Voigt} model taking into account memory along fluid motion trajectories},
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M. V. Turbin; A. S. Ustiuzhaninova. Uniform attractors for the Kelvin—Voigt model taking into account memory along fluid motion trajectories. Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 4, pp. 152-165. http://geodesic.mathdoc.fr/item/SJIM_2024_27_4_a9/

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