Trajectory and global attractors for a modified Kelvin---Voigt model
Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 1, pp. 126-138

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We study the qualitative behavior of weak solutions to an autonomous modified Kelvin—Voigt model on the base of the theory of attractors for noninvariant trajectory spaces. For the model under consideration, we determine the trajectory space, introduce the notions of a trajectory attractor and a global attractor, and prove the existence of these attractors.
Keywords: trajectory attractor, global attractor, trajectory space, modified Kelvin—Voigt model, weak solution.
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     author = {A. S. Ustiuzhaninova and M. V. Turbin},
     title = {Trajectory and global attractors for a modified {Kelvin---Voigt} model},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     publisher = {mathdoc},
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A. S. Ustiuzhaninova; M. V. Turbin. Trajectory and global attractors for a modified Kelvin---Voigt model. Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 1, pp. 126-138. http://geodesic.mathdoc.fr/item/SJIM_2021_24_1_a9/