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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | https://arxiv.org/abs/2406.18339 |
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| _version_ | 1866913507592634368 |
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| author | Das, Saumyajit Hutridurga, Harsha |
| author_facet | Das, Saumyajit Hutridurga, Harsha |
| contents | In this work, we study a $3\times 3$ triangular reaction-diffusion system. Our main objective is to understand the long time behaviour of solutions to this reaction-diffusion system when there are degeneracies. More precisely, we treat cases when one of the diffusion coefficients vanishes while the other two diffusion coefficients stay positive. We prove convergence to equilibrium type results. In all our results, the constants appearing in the decay estimates are explicit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18339 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convergence to equilibrium for a degenerate three species reaction-diffusion system Das, Saumyajit Hutridurga, Harsha Analysis of PDEs 35K57, 35K65, 35Q92, 92E20, 39B62 In this work, we study a $3\times 3$ triangular reaction-diffusion system. Our main objective is to understand the long time behaviour of solutions to this reaction-diffusion system when there are degeneracies. More precisely, we treat cases when one of the diffusion coefficients vanishes while the other two diffusion coefficients stay positive. We prove convergence to equilibrium type results. In all our results, the constants appearing in the decay estimates are explicit. |
| title | Convergence to equilibrium for a degenerate three species reaction-diffusion system |
| topic | Analysis of PDEs 35K57, 35K65, 35Q92, 92E20, 39B62 |
| url | https://arxiv.org/abs/2406.18339 |