Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 7, Pages 73–78 (Mi ivm9378)  
Brief communications

Attractors for weak solution of a regularized problem of viscoelastic fluids motion with memory in non-autonomous case

A. S. Boldyrev, V. G. Zvyagin

Voronezh State University, 1 Universitetskaya sq., Voronezh, 394018 Russia
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Abstract: We study of existence of attractors for weak solutions of the regularized problem for viscoelastic medium motion with memory in non-autonomous case. For this 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 problem.
Keywords: regularized model, viscoelastic medium with memory, weak solution, trajectory attractor, global attractor, uniform trajectory attractor, uniform global attractor, existence theorem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.6072.2017/9.10
14.Z50.31.0037
Russian Foundation for Basic Research 16-01-00370_а
Received: 15.02.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 7, Pages 63–67
DOI: https://doi.org/10.3103/S1066369X18070071
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. S. Boldyrev, V. G. Zvyagin, “Attractors for weak solution of a regularized problem of viscoelastic fluids motion with memory in non-autonomous case”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 7, 73–78; Russian Math. (Iz. VUZ), 62:7 (2018), 63–67
Citation in format AMSBIB
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\pages 73--78
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