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

Year 2020, Volume: 49 Issue: 2, 523 - 538, 02.04.2020

Gang Li Yue Luan Wenjun Lıu

https://doi.org/10.15672/hujms.568332

Cited By: 2

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

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