Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay

Authors : Gang Lİ, Yue LUAN, Wenjun LIU

Pages : 523-538

Doi:10.15672/hujms.568332

View : 21 | Download : 11

Publication Date : 2020-04-02

Article Type : Research Paper

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