Attractors and pullback dynamics for non-autonomous piezoelectric system with magnetic and thermal effects
Author(s) -
Mirelson M. Freitas,
A. J. A. Ramos,
M. J. Dos Santos,
Eraldo R. N. Fonseca
Publication year - 2021
Publication title -
communications on pure andamp applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021129
Subject(s) - pullback , pullback attractor , attractor , exponential function , physics , pure mathematics , mathematics , mathematical analysis
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 \begin{document}$ \epsilon $\end{document} . The existence of pullback exponential attractors and the existence of pullback attractors for the associated non-autonomous dynamical system are proved. Finally, the upper-semicontinuity of pullback attractors as \begin{document}$ \epsilon\to0 $\end{document} is shown.
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