A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller–Segel systems

It was shown that unbounded solutions of the Neumann initial-boundary value problem to the two-dimensional Keller–Segel system can be induced by initial data having large negative energy if the total mass $ \Lambda \in (4\pi, \infty)\setminus 4\pi \cdot \mathbb{N} $ and an example of such an initial...

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Bibliographic Details
Main Authors: Kentaro Fujie, Jie Jiang
Format: Article
Language:English
Published: AIMS Press 2022-11-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2022045?viewType=HTML