Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms
In this paper, we study the thermoelastic Timoshenko system with diffusion effect, memory, and distributed delay terms when they act on the second equation. Firstly, we use the Faedo?Galerkin method to show the well-posedness of the system. Then, we study the exponential stability using the Lyapunov...
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Springer Science and Business Media Deutschland GmbH
2025
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| author | Laribi I. Krelifa A. Boukabcha H. Ouchenane D. Boulaaras S. Zitouni S. Jan R. |
| author2 | 58766127700 |
| author_facet | 58766127700 Laribi I. Krelifa A. Boukabcha H. Ouchenane D. Boulaaras S. Zitouni S. Jan R. |
| author_sort | Laribi I. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this paper, we study the thermoelastic Timoshenko system with diffusion effect, memory, and distributed delay terms when they act on the second equation. Firstly, we use the Faedo?Galerkin method to show the well-posedness of the system. Then, we study the exponential stability using the Lyapunov functional. Next, we introduce a finite element scheme of the problem, and then we establish the discrete energy decay. Finally, we give a priori error estimates and some numerical simulations. ? The Author(s) 2024. |
| format | Article |
| id | my.uniten.dspace-36122 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Springer Science and Business Media Deutschland GmbH |
| record_format | dspace |
| spelling | my.uniten.dspace-361222025-03-03T15:41:25Z Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms Laribi I. Krelifa A. Boukabcha H. Ouchenane D. Boulaaras S. Zitouni S. Jan R. 58766127700 57192279147 34871659800 55559053400 36994353700 57197834418 57205596279 In this paper, we study the thermoelastic Timoshenko system with diffusion effect, memory, and distributed delay terms when they act on the second equation. Firstly, we use the Faedo?Galerkin method to show the well-posedness of the system. Then, we study the exponential stability using the Lyapunov functional. Next, we introduce a finite element scheme of the problem, and then we establish the discrete energy decay. Finally, we give a priori error estimates and some numerical simulations. ? The Author(s) 2024. Final 2025-03-03T07:41:25Z 2025-03-03T07:41:25Z 2024 Article 10.1186/s13661-024-01982-9 2-s2.0-85212939370 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85212939370&doi=10.1186%2fs13661-024-01982-9&partnerID=40&md5=73fadde9533a979be14ad9e1b06383fd https://irepository.uniten.edu.my/handle/123456789/36122 2024 1 168 All Open Access; Gold Open Access Springer Science and Business Media Deutschland GmbH Scopus |
| spellingShingle | Laribi I. Krelifa A. Boukabcha H. Ouchenane D. Boulaaras S. Zitouni S. Jan R. Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms |
| title | Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms |
| title_full | Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms |
| title_fullStr | Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms |
| title_full_unstemmed | Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms |
| title_short | Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms |
| title_sort | exponential stability and numerical results of a thermoelastic timoshenko system with diffusion effect, memory and distributed delay terms |
| url_provider | http://dspace.uniten.edu.my/ |