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Polynomial stability of Timoshenko system with strong damping and strong distributed delay terms

Article scientifique 2023 Anglais

Résumé

Abstract In this research work, we study the linear Timoshenko problem with a strong damping and a strong distributed delay when it acts on the first equation. We first prove the existence and uniqueness solution of the system by using the semi-group theory. Then, we illustrate the lack of exponential stability even in the condition of equal wave propagation is satisfied. Furthermore, we show the polynomial decay of solution with rate t−½. From this perspective, we demonstrate the optimality of the rate.

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Laribi, I., Krelifa, A., Zitouni, S., Ouchenane, D. (2023). Polynomial stability of Timoshenko system with strong damping and strong distributed delay terms. https://doi.org/10.21203/rs.3.rs-3597010/v1

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Auteur(s)

Imene Laribi Ali Krelifa Salah Zitouni Djamel Ouchenane

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