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

Article scientifique 2023 Anglais

Résumé

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. MSC Classification: 35B35 , 35B40 , 93D05 93D20

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Khatir, S., Shel, F. (2023). A note on exponential stability of a thermoelastic system with internal delay. https://doi.org/10.21203/rs.3.rs-2403017/v1

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Smain Moulay Khatir Farhat Shel

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