|
This article is cited in 9 scientific papers (total in 9 papers)
Trajectory and global attractors for a modified Kelvin—Voigt model
A. S. Ustiuzhaninova, M. V. Turbin Voronezh State University, Universitetskaya pl. 1, Voronezh 394018, Russia
Abstract:
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.
Received: 31.07.2020 Revised: 31.07.2020 Accepted: 15.10.2020
Citation:
A. S. Ustiuzhaninova, M. V. Turbin, “Trajectory and global attractors for a modified Kelvin—Voigt model”, Sib. Zh. Ind. Mat., 24:1 (2021), 126–138; J. Appl. Industr. Math., 15:1 (2021), 158–168
Linking options:
https://www.mathnet.ru/eng/sjim1125 https://www.mathnet.ru/eng/sjim/v24/i1/p126
|
|