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

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.

UDC: 517.958

Received: 15.02.2018

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:7, 63–67

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