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On the stability result of swelling porous-elastic soils with infinite memory
Journal article   Peer reviewed

On the stability result of swelling porous-elastic soils with infinite memory

Adel M. Al-Mahdi, Mohammad M. Al-Gharabli and Tijani A. Apalara
Applicable analysis, Vol.ahead-of-print(ahead-of-print), pp.1-17
07/09/2022
DOI: https://doi.org/10.1080/00036811.2022.2120865

Abstract

convex functions general decay infinite memory Swelling porous
This paper aims to establish a general stability result for a one-dimensional linear swelling porous-elastic system with infinite memory, irrespective of the wave speeds of the system. The proof is based on the multiplier method and some properties of convex functions. The kernel in our memory term is more general and of a broader class. Our output extends and improves some of the available results on swelling porous media in the literature.

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