Pullback attractors for weak solution to modified Kelvin-Voigt model-Reference-Cited by-同舟云学术

Pullback attractors for weak solution to modified Kelvin-Voigt model

Published:2022 Issue:6 Volume:11 Page:2055
ISSN:2163-2480
Container-title:Evolution Equations and Control Theory
language:
Short-container-title:EECT

Author:

Turbin Mikhail¹,Ustiuzhaninova Anastasiia¹

Affiliation:

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

Abstract

<p style='text-indent:20px;'>The paper is devoted to the investigation of the qualitative dynamics of weak solutions for the modified Kelvin-Voigt model on the base of the theory of pullback attractors for trajectory spaces. At first, for the studied model, an auxiliary problem is considered, its solvability in the weak sense is proved, and some solution estimates are established. Then, on the base of these estimates, a family of trajectory spaces is determined and the existence of trajectory and minimal pullback attractors for the considered trajectory spaces is proved.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation

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