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 (510.5 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

Spatial decay estimates for a coupled system of wave-plate type

Naiqiao Qing1, Jincheng Shi1, Yan Liu2( ), Yunfeng Wen2
Department of Applied Mathematics, Guangzhou Huashang College, Guangzhou 511300, China
Department of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, China
Show Author Information

Abstract

In this article, we studied the spatial property for a coupled system of wave-plate type in a two-dimensional cylindrical domain. Using an integral differential inequality, we obtained the spatial decay estimates result that the solution can decay exponentially as the distance from the entry section tended to infinity. The result can be viewed as a version of Saint-Venant principle.

Keywords

wave-plate typespatial decay estimatesSaint-Venant principlebiharmonic equation

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 33 Issue 2,
February 2025
Pages 1144-1159
DOI: 10.3934/era.2025051

{{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:
Qing N, Shi J, Liu Y, et al. Spatial decay estimates for a coupled system of wave-plate type. Electronic Research Archive, 2025, 33(2): 1144-1159. https://doi.org/10.3934/era.2025051

2

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 06 January 2025
Revised: 18 February 2025
Accepted: 19 February 2025
Published: 15 February 2025
©2025 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)