Exponential stability of Thermoelastic system with boundary time-varying delay

Meng Hu; Xiaona Cui; Lingrui Zhang; Meng Hu; Xiaona Cui; Lingrui Zhang

doi:10.3934/era.2023001

Electronic Research Archive

2023, Volume 31, Issue 1: 1-16. doi: 10.3934/era.2023001

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Exponential stability of Thermoelastic system with boundary time-varying delay

Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

Received: 18 August 2022 Revised: 10 October 2022 Accepted: 11 October 2022 Published: 18 October 2022

In this paper, we consider a Thermoelastic system with boundary time-varying delay. Under some appropriate assumptions, the global well-posedness and exponential stability are obtained by using the variable norm technique of Kato and the energy method respectively.
- Thermoelastic system,
- time-varying delay,
- exponential stability
Citation: Meng Hu, Xiaona Cui, Lingrui Zhang. Exponential stability of Thermoelastic system with boundary time-varying delay[J]. Electronic Research Archive, 2023, 31(1): 1-16. doi: 10.3934/era.2023001

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Abstract

In this paper, we consider a Thermoelastic system with boundary time-varying delay. Under some appropriate assumptions, the global well-posedness and exponential stability are obtained by using the variable norm technique of Kato and the energy method respectively.

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