Attractors and pullback dynamics for non-autonomous piezoelectric system with magnetic and thermal effects

Abstract

<p style='text-indent:20px;'>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 <inline-formula><tex-math id="M1">\begin{document}$ \epsilon $\end{document}</tex-math></inline-formula>. The existence of pullback exponential attractors and the existence of pullback attractors for the associated non-autonomous dynamical system are proved. Finally, the upper-semicontinuity of pullback attractors as <inline-formula><tex-math id="M2">\begin{document}$ \epsilon\to0 $\end{document}</tex-math></inline-formula> is shown.</p>