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Research Article | Open Access

Asymptotic behavior of a Balakrishnan-Taylor suspension bridge

Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Abstract

In this manuscript, we examine a nonlinear Cauchy problem aimed at describing the deformation of the deck of either a footbridge or a suspension bridge in a rectangular domain Ω = ( 0 , π ) × ( − d , d ), with d << π, incorporating hinged boundary conditions along its short edges, as well as free boundary conditions along its remaining free edges. We establish the existence of solutions and the exponential decay of energy.

Keywords

Balakrishnan-Taylor suspension bridgeexistence of solutionsexponential decay

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Electronic Research Archive
Volume 32 Issue 3,
March 2024
Pages 1646-1662
DOI: 10.3934/era.2024075

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Cite this article:
Hajjej Z. Asymptotic behavior of a Balakrishnan-Taylor suspension bridge. Electronic Research Archive, 2024, 32(3): 1646-1662. https://doi.org/10.3934/era.2024075

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Received: 11 October 2023
Revised: 08 January 2024
Accepted: 11 January 2024
Published: 19 February 2024
©2024 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)