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

Kentaro Fujie, Jie Jiang

## 抄録

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 Λ ∈ (4π, ∞) \ 4π · N and an example of such an initial datum was given for some transformed system and its associated energy in Horstmann-Wang (2001). In this work, we provide an alternative construction of nonnegative nonradially symmetric initial data enforcing unbounded solutions to the original Keller-Segel model.

本文言語 English 1-12 12 Mathematics In Engineering 4 6 https://doi.org/10.3934/MINE.2022045 Published - 2022

• 応用数学
• 数理物理学
• 分析

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