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arXiv · 2405.06315

A note on the $8π$ problem of Jäger-Luckhaus system

Xuan Mao·Meng Liu·Yuxiang Li
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Abstract

We show that for any nonnegative, radially symmetric and continuous initial datum with critical mass $8π$, Jäger-Luckhaus system in the unit disk, known as a parabolic-elliptic Keller-Segel model, admits a globally bounded classical solution. Moreover, it is asserted that the spatial constant equilibrium $8$ is globally and exponentially asymptotically stable.

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Xuan Mao, Meng Liu, Yuxiang Li. 2026-05-06. A note on the $8π$ problem of Jäger-Luckhaus system. https://arxiv.org/abs/2405.06315

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