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arXiv · 2401.08533

Well-posedness and stability of abstract thermoelastic delayed systems

Kaïs Ammari·Makrem Salhi·Farhat Shel
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Abstract

In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called $\alpha-\beta$ system) with delay in a part of the coupled system. For each case, we prove the well-posedness of the corresponding system using semigroup approach, then under some sufficient conditions we establish some results of exponential and polynomial stability of the system through a frequency-domain approach. The results are applied to concrete examples in thermoelasticity.

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Kaïs Ammari, Makrem Salhi, Farhat Shel. 2024-01-16. Well-posedness and stability of abstract thermoelastic delayed systems. https://arxiv.org/abs/2401.08533

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