Email this article Attractors for Model of Viscoelastic Media with Memory Motion in Non-Autonomous Case
- Authors: Boldyrev A.S.1, Zvyagin V.G.1
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Affiliations:
- Laboratory of Mathematical Fluid Dynamics of Research Institute of Mathematics
- Issue: Vol 40, No 7 (2019)
- Pages: 918-937
- Section: Article
- URL: https://journal-vniispk.ru/1995-0802/article/view/205010
- DOI: https://doi.org/10.1134/S1995080219070084
- ID: 205010
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Abstract
We study attractors existence of weak solutions to viscoelastic media with memory motion model in non-autonomous case. The theory of trajectory attractors for non-invariant trajectory spaces is applied and the existence of uniform trajectory attractor and uniform global attractor for this system is proved. The proof of existence theorems is based on the approximation-topological method.
About the authors
A. S. Boldyrev
Laboratory of Mathematical Fluid Dynamics of Research Institute of Mathematics
Author for correspondence.
Email: al-boldyrev@mail.ru
Russian Federation, Voronezh, 394018
V. G. Zvyagin
Laboratory of Mathematical Fluid Dynamics of Research Institute of Mathematics
Author for correspondence.
Email: zvg_vsu@mail.ru
Russian Federation, Voronezh, 394018
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