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Research Article | Open Access

Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings

Gongwei Liu( ), Mengru Wang, Pengyan Ding
College of Science, Henan University of Technology, Zhengzhou 450001, China
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Abstract

This paper is concerned with the long-time dynamical behavior of a piezoelectric system with magnetic effect, which has nonlinear damping terms and external forces with a parameter. At first, we use the nonlinear semigroup theory to prove the well-posedness of solutions. Then, we investigate the properties of global attractors and the existence of exponential attractors. Finally, the upper semicontinuity of global attractors has been investigated.

Keywords

piezoelectric systemthe well posednessglobal attractorexponential attractorsupper semicontinuity of attractors

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Electronic Research Archive
Volume 30 Issue 9,
September 2022
Pages 3397-3421
DOI: 10.3934/era.2022173

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Cite this article:
Liu G, Wang M, Ding P. Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings. Electronic Research Archive, 2022, 30(9): 3397-3421. https://doi.org/10.3934/era.2022173

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Received: 24 March 2022
Revised: 24 June 2022
Accepted: 11 July 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)