Stability result for a thermoelastic Bresse system with delay term in the internal feedback

Abstract

The studies considered here are concerend with a linear thermoelastic Bresse system with delay term in the feedback. The heat conduction is also given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method. Furthermore, based on the energy method, we establish an exponential stability result depending of a condition on the constants of the system that was first considered by A. Keddi, T. Apalara, S. A. Messaoudi in 2018.

Keywords

• bresse system
• delay
• decay rate
• energy method
• semigroup method
• thermoelastic