Abstract
This paper is devoted to studying the linear system of partial differential equations modelling a one-dimensional thermo-porous-elastic problem with microtemperatures in the context of the dual-phase-lag heat conduction. Existence, uniqueness, and exponential decay of solutions are proved. Polynomial stability is also obtained in the case that the relaxation parameters satisfy a certain equality. Our arguments are based on the theory of semigroups of linear operators.
| Original language | English (US) |
|---|---|
| Article number | 231 |
| Journal | Computational and Applied Mathematics |
| Volume | 40 |
| Issue number | 6 |
| DOIs | |
| State | Published - Sep 2021 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s).
Keywords
- Dual phase-lag heat conduction with microtemperatures
- Exponential stability
- Microtemperatures
- Polynomial stability
- Semigroups
- Thermo-porous-elasticity
- Well-posedness