Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 4501-4517 |
| Number of pages | 17 |
| Journal | Applicable Analysis |
| Volume | 102 |
| Issue number | 16 |
| DOIs | |
| State | Published - 2023 |
Bibliographical note
Publisher Copyright:© 2022 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- 35B40
- 93D20
- Swelling porous
- convex functions
- general decay
- infinite memory
ASJC Scopus subject areas
- Analysis
- Applied Mathematics