Blow-up of solutions to the Keller-Segel model with tensorial flux in high dimensions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909321244180480 |
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| author | Cuentas, Valeria Espejo, Elio Suzuki, Takashi |
| author_facet | Cuentas, Valeria Espejo, Elio Suzuki, Takashi |
| contents | Over the course of the last decade, there has been a significant level of interest in the analysis of Keller-Segel models incorporating tensorial flux. Despite this interest, the question of whether finite-time blowup solutions exist remains a topic of ongoing research. Our study provides evidence that solutions of this nature are indeed possible in dimensions $n\geq3,$ when utilizing a tensorial flux expressed in the form of $A\nabla v$, where $A$ denotes a matrix with constant components |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_13619 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Blow-up of solutions to the Keller-Segel model with tensorial flux in high dimensions Cuentas, Valeria Espejo, Elio Suzuki, Takashi Analysis of PDEs 35K15, 35K55, 35Q60 Over the course of the last decade, there has been a significant level of interest in the analysis of Keller-Segel models incorporating tensorial flux. Despite this interest, the question of whether finite-time blowup solutions exist remains a topic of ongoing research. Our study provides evidence that solutions of this nature are indeed possible in dimensions $n\geq3,$ when utilizing a tensorial flux expressed in the form of $A\nabla v$, where $A$ denotes a matrix with constant components |
| title | Blow-up of solutions to the Keller-Segel model with tensorial flux in high dimensions |
| topic | Analysis of PDEs 35K15, 35K55, 35Q60 |
| url | https://arxiv.org/abs/2409.13619 |