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.
Authors
- Tijani A. Apalara (ORCID: https://orcid.org/0000-0003-1813-6646)
- Mohammad M. Al‐Gharabli (ORCID: https://orcid.org/0000-0003-2098-0117)
- Adel M. Al‐Mahdi (ORCID: https://orcid.org/0000-0003-1752-4858)
Institutions
- King Fahd University of Petroleum and Minerals (SA)
- University of Hafr Al-Batin (SA)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-05
- DOI
- https://doi.org/10.1002/mma.11037
- Primary Topic
- Thermoelastic and Magnetoelastic Phenomena
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- King Fahd University of Petroleum and Minerals