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Attractors for Weak Solutions of a Regularized Model of Viscoelastic Mediums Motion With Memory in Non-Autonomous Case

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Abstract

We study existence of attractors for weak solutions of the regularized model for viscoelastic medium motion with memory in non-autonomous case. We apply the theory of trajectory attractors for non-invariant trajectory spaces and prove the existence of trajectory attractor, global attractor, uniform trajectory attractor, and uniform global attractor for this system.

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Authors and Affiliations

  1. Voronezh State University, Universitetskaya pl. 1, Voronezh, 394018, Russia

    A. S. Boldyrev & V. G. Zvyagin

Authors
  1. A. S. Boldyrev
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  2. V. G. Zvyagin
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Correspondence to A. S. Boldyrev.

Additional information

Original Russian Text © A.S. Boldyrev, V.G. Zvyagin, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 7, pp. 73–78.

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Boldyrev, A.S., Zvyagin, V.G. Attractors for Weak Solutions of a Regularized Model of Viscoelastic Mediums Motion With Memory in Non-Autonomous Case. Russ Math. 62, 63–67 (2018). https://doi.org/10.3103/S1066369X18070071

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  • DOI: https://doi.org/10.3103/S1066369X18070071

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