Boundedness of Solutions to a Parabolic-Elliptic Keller–Segel Equation in ℝ2 with Critical Mass

We consider the Cauchy problem for a parabolic-elliptic system in ℝ2{\mathbb{R}^{2}}, called the parabolic-elliptic Keller–Segel equation, which appears in various fields in biology and physics. In the critical mass case where the total mass of the initial data is 8⁢π{8\pi}, the unboundedness of non...

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Bibliographic Details
Main Authors: Nagai Toshitaka, Yamada Tetsuya
Format: Article
Language:English
Published: De Gruyter 2018-04-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2017-6025