A note on exponential stability of a thermoelastic system with internal delay
Analysis of PDEs
2022-12-20 v1 Dynamical Systems
Abstract
The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction. To avoid this problem we add to the system, at the delayed equation, a Kelvin-Voigt damping. In this note we point on the exponential stability of such system in order to improve the mean result in our paper Well-posedness and exponential stability of a thermoelastic system with internal delay (Applicable Analysis J 101, 4851-4865, 2022). We use a frequency domain method in the proof of stability.
Cite
@article{arxiv.2212.08849,
title = {A note on exponential stability of a thermoelastic system with internal delay},
author = {Smain Moulay Khatir and Farhat Shel},
journal= {arXiv preprint arXiv:2212.08849},
year = {2022}
}