Nonlinear damping effects for the 2D Mindlin-Timoshenko system
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2021
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917629051011072 |
|---|---|
| author | Bchatnia, Ahmed Chebbi, Sabrine Hamouda, Makram |
| author_facet | Bchatnia, Ahmed Chebbi, Sabrine Hamouda, Makram |
| contents | We study in this article the asymptotic behavior of the Mindlin-Timoshenko system subject to a nonlinear dissipation acting only on the equations of the rotation angles. First, we briefly recall the existence of the solution of this system. Then, we prove that the energy associated with the Mindlin-Timoshenko system fulfills a dissipation relationship showing that the energy is decreasing. Moreover, when the wave speeds are equal, we establish an explicit and general decay result for the energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_08757 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Nonlinear damping effects for the 2D Mindlin-Timoshenko system Bchatnia, Ahmed Chebbi, Sabrine Hamouda, Makram Analysis of PDEs We study in this article the asymptotic behavior of the Mindlin-Timoshenko system subject to a nonlinear dissipation acting only on the equations of the rotation angles. First, we briefly recall the existence of the solution of this system. Then, we prove that the energy associated with the Mindlin-Timoshenko system fulfills a dissipation relationship showing that the energy is decreasing. Moreover, when the wave speeds are equal, we establish an explicit and general decay result for the energy. |
| title | Nonlinear damping effects for the 2D Mindlin-Timoshenko system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2105.08757 |