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Research Article | Open Access

General and optimal decay rates for a system of wave equations with damping and a coupled source term

Qian Li( ), Yanyuan Xing
Department of Mathematics, Changzhi University, Changzhi 046011, China
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Abstract

In this article, we aim to investigate the decay characteristics of a system consisting of two viscoelastic wave equations with Dirichlet boundary conditions, where the dispersion term and nonlinear weak damping term are taken into account. Under appropriate conditions, we establish both general and optimal decay results. This work generalizes and improves earlier results in the literature.

Keywords

general decaycoupled equationsLyapunov functionrelaxation function
CLC number: 35L05, 35L20

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 29404-29424
DOI: 10.3934/math.20241425

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Cite this article:
Li Q, Xing Y. General and optimal decay rates for a system of wave equations with damping and a coupled source term. AIMS Mathematics, 2024, 9(10): 29404-29424. https://doi.org/10.3934/math.20241425

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Received: 18 July 2024
Revised: 02 October 2024
Accepted: 12 October 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

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