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On the stability of Lord Shulman thermoelastic system with porous damping

Article scientifique 2022 Anglais

Résumé

Abstract In this work, we study the asymptotic behavior of a one-dimensional Lord-Shulman thermoelastic system [1]. We establish the well-posedness and the stability of the system by using the energy method. We present a finite element approximation and we show the discrete energy decay. At the end, numerical simulations are presented to validate the theoretical results.AMS Subject Classification: 435B37, 35L55, 74D05, 93D15.

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Boudeliou, M., Bouraoui, H., Djebabla, A. (2022). On the stability of Lord Shulman thermoelastic system with porous damping. https://doi.org/10.21203/rs.3.rs-1938971/v1

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Auteur(s)

Marwa Boudeliou Hamed Abderrahamne Bouraoui Abdelhak Djebabla

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