Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916715501191168 |
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| author | Bautista, G. Capistrano--Filho, R. de A. Chentouf, B. Fonseca, O. Sierra |
| author_facet | Bautista, G. Capistrano--Filho, R. de A. Chentouf, B. Fonseca, O. Sierra |
| contents | A higher-order nonlinear Boussinesq system with a time-dependent boundary delay is considered. Sufficient conditions are presented to ensure the well-posedness of the problem by utilizing Kato's variable norm technique and the Fixed-Point Theorem. More significantly, the energy decay for the linearized problem is demonstrated using the energy method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05191 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay Bautista, G. Capistrano--Filho, R. de A. Chentouf, B. Fonseca, O. Sierra Analysis of PDEs Optimization and Control A higher-order nonlinear Boussinesq system with a time-dependent boundary delay is considered. Sufficient conditions are presented to ensure the well-posedness of the problem by utilizing Kato's variable norm technique and the Fixed-Point Theorem. More significantly, the energy decay for the linearized problem is demonstrated using the energy method. |
| title | Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2411.05191 |