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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2508.08103 |
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| _version_ | 1866918122164846592 |
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| author | Buseghin, Federico Dávila, Juan del Pino, Manuel Musso, Monica |
| author_facet | Buseghin, Federico Dávila, Juan del Pino, Manuel Musso, Monica |
| contents | We construct axially symmetric finite-time blow-up solutions to the three-dimensional Keller-Segel system. By adapting gluing techniques, we derive a precise asymptotic expansion for Type II singularities that generalizes the recent work of Hou, Nguyen, and Song. In our construction the mass concentrates along multiple rings and we obtain a refined expansion for the blow-up rate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08103 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system Buseghin, Federico Dávila, Juan del Pino, Manuel Musso, Monica Analysis of PDEs We construct axially symmetric finite-time blow-up solutions to the three-dimensional Keller-Segel system. By adapting gluing techniques, we derive a precise asymptotic expansion for Type II singularities that generalizes the recent work of Hou, Nguyen, and Song. In our construction the mass concentrates along multiple rings and we obtain a refined expansion for the blow-up rate. |
| title | Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.08103 |