- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 2
- Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and dela...
Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay
Authors : Gang Li, Yue Luan, Wenjun Liu
Pages : 523-538
Doi:10.15672/hujms.568332
View : 11 | Download : 6
Publication Date : 2020-04-02
Article Type : Research
Abstract :In this paper, we consider a one-dimensional thermoelastic-Bresse system with a delay term, where the heat conduction is given by Cattaneo’s law effective in the shear angle displacement. We prove that the system is well-posed by using the semigroup method, and show, using the multiplier method, that the dissipation induced by the heat is strong enough to exponentially stabilize the system in the presence of a "small" delay when the stable number is zero.Keywords : thermoelastic-Bresse system, second sound, exponential decay, time delay