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

Adel M. Al-Mahdi; Mohammed Al-Gharabli; Tijani A. Apalara

doi:10.1002/mma.11037

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

Adel M. Al-Mahdi, Mohammed Al-Gharabli, Tijani A. Apalara^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	12440-12447
Number of pages	8
Journal	Mathematical Methods in the Applied Sciences
Volume	48
Issue number	12
DOIs	https://doi.org/10.1002/mma.11037
State	Published - Aug 2025

Bibliographical note

Publisher Copyright:
© 2025 John Wiley & Sons Ltd.

Keywords

Kelvin–Voigt damping
energy method
general decay
porous-elastic systems
viscoelasticity

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.11037

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title = "Energy Decay of Solutions of Porous-Elastic System With Kelvin–Voigt Damping and Infinite Memory",

abstract = "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.",

keywords = "Kelvin–Voigt damping, energy method, general decay, porous-elastic systems, viscoelasticity",

author = "Al-Mahdi, \{Adel M.\} and Mohammed Al-Gharabli and Apalara, \{Tijani A.\}",

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AU - Al-Mahdi, Adel M.

AU - Al-Gharabli, Mohammed

AU - Apalara, Tijani A.

PY - 2025/8

Y1 - 2025/8

N2 - 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.

AB - 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.

KW - Kelvin–Voigt damping

KW - energy method

KW - general decay

KW - porous-elastic systems

KW - viscoelasticity

UR - https://www.scopus.com/pages/publications/105004210014

U2 - 10.1002/mma.11037

DO - 10.1002/mma.11037

M3 - Article

AN - SCOPUS:105004210014

SN - 0170-4214

VL - 48

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EP - 12447

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 12

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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