# American Institute of Mathematical Sciences

doi: 10.3934/cpaa.2021129
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## Attractors and pullback dynamics for non-autonomous piezoelectric system with magnetic and thermal effects

 1 Faculty of Mathematics, Federal University of Pará, Raimundo Santana Street, S/N, 68721-000, Salinópolis, PA, Brazil 2 Faculty of Exact Sciences and Technology, Federal University of Pará, Manoel de Abre Street, S/N, 68440-000, Abaetetuba, PA, Brazil

* Corresponding author

Received  March 2021 Revised  June 2021 Early access July 2021

Fund Project: A. J. A. Ramos is supported by Grant 310729/2019-0

This paper is concerned with the study of the pullback dynamics of a piezoelectric system with magnetic and thermal effects and subjected to small perturbations of non-autonomous external forces with a parameter $\epsilon$. The existence of pullback exponential attractors and the existence of pullback attractors for the associated non-autonomous dynamical system are proved. Finally, the upper-semicontinuity of pullback attractors as $\epsilon\to0$ is shown.

Citation: Mirelson M. Freitas, Anderson J. A. Ramos, Manoel J. Dos Santos, Eraldo R. N. Fonseca. Attractors and pullback dynamics for non-autonomous piezoelectric system with magnetic and thermal effects. Communications on Pure &amp; Applied Analysis, doi: 10.3934/cpaa.2021129
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