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arXiv · 2409.13619

Blow-up of solutions to the Keller-Segel model with tensorial flux in high dimensions

Valeria Cuentas·Elio Espejo·Takashi Suzuki
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Abstract

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

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Valeria Cuentas, Elio Espejo, Takashi Suzuki. 2024-09-20. Blow-up of solutions to the Keller-Segel model with tensorial flux in high dimensions. https://arxiv.org/abs/2409.13619

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