Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system
Analysis of PDEs
2025-08-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2508.08103,
title = {Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system},
author = {Federico Buseghin and Juan Dávila and Manuel del Pino and Monica Musso},
journal= {arXiv preprint arXiv:2508.08103},
year = {2025}
}
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36 pages