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 8π{8\pi}, the unboundedness of non...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2018-04-01
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Series: | Advanced Nonlinear Studies |
Subjects: | |
Online Access: | https://doi.org/10.1515/ans-2017-6025 |