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arXiv · 2210.12299

Blow up analysis for Keller-Segel system

Hua Chen·Jian-Meng Li·Kelei Wang
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Abstract

In this paper we develop a blow up theory for the parabolic-elliptic Keller-Segel system, which can be viewed as a parabolic counterpart to the Liouville equation. This theory is applied to the study of first time singularities, ancient solutions and entire solutions, leading to a description of the blow-up limit in the first problem, and the large scale structure in the other two problems.

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Hua Chen, Jian-Meng Li, Kelei Wang. 2022-10-21. Blow up analysis for Keller-Segel system. https://arxiv.org/abs/2210.12299

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