Stabilization of a new memory-type thermoelastic Timoshenko system

Abstract

This paper investigates the asymptotic stability of a new coupling to a thermoelastic Timoshenko-type system with memory. The memory term acts on the shear force in the evolution equations. We establish the well-posedness result for the system. Furthermore, we prove a general decay result for the solution energy. Interestingly, our stability result is obtained without imposing the condition of equal-wave speed.

Keywords:

• General decay
• Timoshenko system
• viscoelasticity
• finite memory

2010 MSC:

• 35D30
• 35D35
• 35B35
• 35L51
• 74D10
• 93D15

Acknowledgements

The authors appreciate the continuous support of University of Hafr Al Batin (UHB).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.