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Attractors for Model of Viscoelastic Media with Memory Motion in Non-Autonomous Case

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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.

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Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. 14.Z50.31.0037).

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Correspondence to A. S. Boldyrev or V. G. Zvyagin.

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Boldyrev, A.S., Zvyagin, V.G. Attractors for Model of Viscoelastic Media with Memory Motion in Non-Autonomous Case. Lobachevskii J Math 40, 918–937 (2019). https://doi.org/10.1134/S1995080219070084

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  • DOI: https://doi.org/10.1134/S1995080219070084

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