|
This article is cited in 1 scientific paper (total in 1 paper)
Mathematical physics
Convergence of attractors for an approximation to attractors of a modified Kelvin–Voigt model
M. V. Turbin, A. S. Ustiuzhaninova Voronezh State University, 394018, Voronezh, Russia
Abstract:
The qualitative behavior of solutions to a modified Kelvin–Voigt model is studied. An approximation of this model is considered, and the existence of a minimal trajectory attractor and a global attractor for both the model and its approximation is proved. Next, the trajectory and global attractors of the approximation are shown to converge to the trajectory and global attractors of the original model in the sense of the Hausdorff semidistance in corresponding spaces as the approximation parameter tends to zero.
Key words:
attractors, convergence of attractors, trajectory space, modified Kelvin–Voigt model, weak solution.
Received: 30.04.2021 Revised: 10.07.2021 Accepted: 12.10.2021
Citation:
M. V. Turbin, A. S. Ustiuzhaninova, “Convergence of attractors for an approximation to attractors of a modified Kelvin–Voigt model”, Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022), 330–341; Comput. Math. Math. Phys., 62:2 (2022), 325–335
Linking options:
https://www.mathnet.ru/eng/zvmmf11364 https://www.mathnet.ru/eng/zvmmf/v62/i2/p330
|
Statistics & downloads: |
Abstract page: | 94 |
|