Polynomial stability of a coupled wave-heat network
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917972263567360 |
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| author | Paunonen, Lassi Seifert, David |
| author_facet | Paunonen, Lassi Seifert, David |
| contents | We study the long-time asymptotic behaviour of a topologically non-trivial network of wave and heat equations. By analysing the simpler wave and the heat networks separately, and then applying recent results for abstract coupled systems, we establish energy decay at the rate $t^{-4}$ as $t\to\infty$ for all classical solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03252 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomial stability of a coupled wave-heat network Paunonen, Lassi Seifert, David Analysis of PDEs Functional Analysis We study the long-time asymptotic behaviour of a topologically non-trivial network of wave and heat equations. By analysing the simpler wave and the heat networks separately, and then applying recent results for abstract coupled systems, we establish energy decay at the rate $t^{-4}$ as $t\to\infty$ for all classical solutions. |
| title | Polynomial stability of a coupled wave-heat network |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2407.03252 |