Stability analysis for a plate-membrane system without geometric condition
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909962929700864 |
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| author | Martínez, Bienvenido Barraza Denk, Robert Ospino, Jonathan González Monzón, Jairo Hernández |
| author_facet | Martínez, Bienvenido Barraza Denk, Robert Ospino, Jonathan González Monzón, Jairo Hernández |
| contents | In this work, we consider a transmission problem describing a thermoelastic plate surrounding a membrane without any mechanical damping. The main results consist of the lack of exponential stability for this problem and the polynomial stability without the usual geometric condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13087 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability analysis for a plate-membrane system without geometric condition Martínez, Bienvenido Barraza Denk, Robert Ospino, Jonathan González Monzón, Jairo Hernández Analysis of PDEs Primary 35M33, 35B35, secondary 35B40, 47D06, 74K15, 74K20 In this work, we consider a transmission problem describing a thermoelastic plate surrounding a membrane without any mechanical damping. The main results consist of the lack of exponential stability for this problem and the polynomial stability without the usual geometric condition. |
| title | Stability analysis for a plate-membrane system without geometric condition |
| topic | Analysis of PDEs Primary 35M33, 35B35, secondary 35B40, 47D06, 74K15, 74K20 |
| url | https://arxiv.org/abs/2512.13087 |