Pullback attractors for a model of weakly concentrated aqueous polymer solution motion with a rheological relation satisfying the objectivity principle
- Authors: Zvyagin A.V.1, Zvyagin V.G.1
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Affiliations:
- Voronezh State University
- Issue: Vol 95, No 3 (2017)
- Pages: 247-249
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225077
- DOI: https://doi.org/10.1134/S1064562417030218
- ID: 225077
Cite item
Abstract
The qualitative dynamics of weak solutions to a nonautonomous model of polymer solution motion (with a rheological relation satisfying the objectivity principle) is studied using the theory of pullback attractors of trajectory spaces. For this purpose, the existence of weak solutions is proved for the model under study, a family of trajectory spaces is defined, trajectory and minimal pullback attractors are introduced, and their existence is proved.
About the authors
A. V. Zvyagin
Voronezh State University
Author for correspondence.
Email: zvyagin.a@mail.ru
Russian Federation, Voronezh, 394006
V. G. Zvyagin
Voronezh State University
Email: zvyagin.a@mail.ru
Russian Federation, Voronezh, 394006