Abstract
In this paper we consider the following three-phase-lag thermoelastic plate:
We obtain analyticity and exponential stability for the associated
-semigroup when the coefficients satisfy
. The analyticity of the semigroup still holds when
. However, the instability of solution was proved by the Routh–Hurwitz rule.
Acknowledgments
The work of R. Quintanilla was supported by projects ‘Análisis Matemáticode Problemas de la Termomecánica’ (MTM2016-74934-P) (AEI/FEDER, UE) of the Spanish Ministry of Economy and Competitiveness, and ‘Análisis Matemático Aplicado a la Termomecánica’ (Ref. PID2019- 105118GB-I00), (AEI/FEDER, UE) of the Spanish Ministry of Science, Innovation and Universities.
Disclosure statement
No potential conflict of interest was reported by the authors.