On the boundary control of thermoviscoelastic systems of type III

Abstract

In this paper, we consider an n-dimensional thermoelastic system of type III with viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature.

Keywords:

• thermoelasticity of type III
• viscoelastic damping
• general decay
• convexity

AMS Subject Classifications:

• 35B37
• 35L55
• 74D05
• 93D15
• 93d20

Acknowledgement

The author thanks KFUPM for its continuous support.

Additional information

Funding

This work has been funded by KFUPM under Project #IN101029.