Well-posedness and stability of abstract thermoelastic delayed systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917733622349824 |
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| author | Ammari, Kaïs Salhi, Makrem Shel, Farhat |
| author_facet | Ammari, Kaïs Salhi, Makrem Shel, Farhat |
| contents | In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called $α-β$ system) with delay in a part of the coupled system. For each case, we prove the well-posedness of the corresponding system using semigroup approach, then under some sufficient conditions we establish some results of exponential and polynomial stability of the system through a frequency-domain approach. The results are applied to concrete examples in thermoelasticity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08533 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posedness and stability of abstract thermoelastic delayed systems Ammari, Kaïs Salhi, Makrem Shel, Farhat Analysis of PDEs Functional Analysis 35B35, 35B40, 93D05, 93D15, 93D20 In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called $α-β$ system) with delay in a part of the coupled system. For each case, we prove the well-posedness of the corresponding system using semigroup approach, then under some sufficient conditions we establish some results of exponential and polynomial stability of the system through a frequency-domain approach. The results are applied to concrete examples in thermoelasticity. |
| title | Well-posedness and stability of abstract thermoelastic delayed systems |
| topic | Analysis of PDEs Functional Analysis 35B35, 35B40, 93D05, 93D15, 93D20 |
| url | https://arxiv.org/abs/2401.08533 |