AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Electronic Research Archive Article
PDF (559.2 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
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
Show Author Information

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

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 30 Issue 9,
September 2022
Pages 3397-3421
DOI: 10.3934/era.2022173

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
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

13

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
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)