A stability result for the vibrations given by the standard linear model with thermoelasticity of type III

Abstract

The aim of this article is to establish the well-posedness as well as an exponential stability result for the standard linear solid vibrating systems of thermoelasticity type III. Numerical experiments using finite differences are given to confirm our analytical result.

Keywords:

• Well-posedness
• exponential stability
• thermoelasticity type III

AMS Subject Classifications:

• 35B40
• 74H20
• 74H25
• 74H30
• 93D20

Acknowledgements

The authors thank UoHB and KFUPM for their continuous support and the reviewers for their careful reading and valuable suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work has been funded by KFUPM [project number IN141015].