Pullback attractors for weak solution to modified Kelvin-Voigt model

Mikhail Turbin; Anastasiia Ustiuzhaninova

doi:10.3934/eect.2022011

Article Contents

2022, Volume 11, Issue 6: 2055-2072. Doi: 10.3934/eect.2022011

This issue Previous Article Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations Next Article Impulsive conformable fractional stochastic differential equations with Poisson jumps

Pullback attractors for weak solution to modified Kelvin-Voigt model

Mikhail Turbin^, and
Anastasiia Ustiuzhaninova

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

^*Corresponding author: Mikhail Turbin
^*Corresponding author: Mikhail Turbin

Received: July 31, 2021

Revised: December 31, 2021

Early access: March 2022

Published: December 2022

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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.Note: Reference no. 42 is updated.

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Mathematics Subject Classification: Primary: 35Q35, 35B41; Secondary: 76A05.

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