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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2015 Volume 79, Issue 4, Pages 3–26 (Mi im8163)

This article is cited in 7 papers

Pullback attractors for the model of motion of dilute aqueous polymer solutions

V. G. Zvyagin, S. K. Kondrat'ev

Voronezh State University

Abstract: We study the qualitative dynamics of weak solutions in the non-autonomous model of motion of dilute aqueous polymer solutions using the theory of pullback attractors of trajectory spaces. We establish the existence of weak solutions for this model, define a family of trajectory spaces, introduce the notions of a trajectory pullback attractor and a minimal pullback attractor and prove the existence of these attractors.

Keywords: pullback attractors, trajectory space, dilute aqueous polymer solutions, weak solutions, existence theorems.

UDC: 517.9

MSC: 35B41, 35D30, 35Q35, 37L05, 37L30

Received: 21.08.2013
Revised: 08.01.2015

DOI: 10.4213/im8163


 English version:
Izvestiya: Mathematics, 2015, 79:4, 645–667

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