Energy Decay of Solutions of Porous-Elastic System With Kelvin-Voigt Damping and Infinite Memory

被引：0
作者：
Al-Mahdi, Adel M. [1 ,2 ]
Al-Gharabli, Mohammed [1 ,2 ]
Apalara, Tijani A. [3 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math, Dhahran, Saudi Arabia
[2] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Construction & Bldg Mat, Dhahran, Saudi Arabia
[3] Univ Hafr Al Batin UHB, Dept Math, Hafar al Batin, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 12期
关键词：
energy method; general decay; Kelvin-Voigt damping; porous-elastic systems; viscoelasticity; EXPONENTIAL DECAY;
D O I：
10.1002/mma.11037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper examines a one-dimensional porous-elastic system that incorporates Kelvin-Voigt damping and viscoelastic damping of infinite memory type in the volume fraction equation. We investigate the asymptotic behavior of solutions of the system and establish general energy decay under specific conditions on the relaxation function and the time-dependent coefficient of Kelvin-Voigt damping. Our findings provide valuable insights into the stability features of viscoelastic porous structures and enhance some well-known results in the literature.
引用
收藏
页码：12440 / 12447
页数：8
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