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| Titre: | Analysis of energy dissipation in hyperbolic problems influenced by internal and boundary control mechanisms |
| Auteur(s): | Laoubi, Karima
Seba, Djamila |
| Mots-clés: | 35B35
35B40
35L05
Dynamic boundary conditions
Internal control
Spectrum
Stabilisation
Wave equation |
| Date de publication: | 2024 |
| Editeur: | Taylor and Francis Ltd. |
| Collection/Numéro: | International Journal of Control(2024); |
| Résumé: | This article primarily focuses on the rational stabilisation of the wave equation, supplied with a second-order dynamical boundary condition of hyperbolic type, while considering an additional internal damping mechanism within the specified ring. To achieve rational decay rates of the associated energy, it is imperative to exponentially stabilise a portion of the domain using a global Ingham's-type estimate. This paper will subsequently illustrate how this partially localised exponential stabilisation, combined with a Bessel analysis, leads to a rational decrease in the overall energy of the system considered. |
| URI/URL: | https://www.tandfonline.com/doi/full/10.1080/00207179.2024.2390885
https://doi.org/10.1080/00207179.2024.2390885
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/14290 |
| ISSN: | 0020-7179 |
| Collection(s) : | Publications Internationales
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