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Exponential stability of Lord Shulman thermoelastic system with porous damping and distributed delay term

Article scientifique 2023 Anglais

Résumé

Abstract In this paper, we consider a one-dimensional Lord-Shulman thermoelastic system 1 with porous damping and distributed delay term acting on the porous equation. Under suitable assumptions on the weight of distributed delay, we establish the well-posedness of the system by using semigroup theory and we show that the dissipations due to thermal effects with porous damping are strong enough to stabilise the system exponentially, independently of the wave speeds of the system.

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Bouzettouta, L., Boulkheloua, C., Khochemane, H., Karek, W. (2023). Exponential stability of Lord Shulman thermoelastic system with porous damping and distributed delay term. https://doi.org/10.21203/rs.3.rs-2506041/v1

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Auteur(s)

Lamine Bouzettouta Chaima Boulkheloua Houssem Eddine Khochemane Widad Karek

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