Upper bound on heat kernels of finite particle systems of Keller-Segel type
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916951853367296 |
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| author | Boutiah, S. E. Kinzebulatov, D. |
| author_facet | Boutiah, S. E. Kinzebulatov, D. |
| contents | We obtain an upper bound on the heat kernel of the Keller-Segel finite particle system that exhibits blow up effects. The proof exploits a connection between Keller-Segel finite particles and certain non-local operators. The latter allows to address some aspects of the critical behaviour of the Keller-Segel system resulting from its two-dimensionality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10892 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Upper bound on heat kernels of finite particle systems of Keller-Segel type Boutiah, S. E. Kinzebulatov, D. Analysis of PDEs Mathematical Physics Probability We obtain an upper bound on the heat kernel of the Keller-Segel finite particle system that exhibits blow up effects. The proof exploits a connection between Keller-Segel finite particles and certain non-local operators. The latter allows to address some aspects of the critical behaviour of the Keller-Segel system resulting from its two-dimensionality. |
| title | Upper bound on heat kernels of finite particle systems of Keller-Segel type |
| topic | Analysis of PDEs Mathematical Physics Probability |
| url | https://arxiv.org/abs/2508.10892 |