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arXiv · 2212.08849

A note on exponential stability of a thermoelastic system with internal delay

Smain Moulay Khatir·Farhat Shel
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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.

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Smain Moulay Khatir, Farhat Shel. 2022-12-17. A note on exponential stability of a thermoelastic system with internal delay. https://arxiv.org/abs/2212.08849

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