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
Funding Information:The authors would like to thank the anonymous referees their comments that allow us to improve the paper. The work of R. Quintanilla has been supported by Ministerio de Ciencia, Innovación y Universidades under the research project “Análisis matemático aplicado a la termomecánica” (PID2019-105118GB-I00).
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