On the stability of critical chemotactic aggregation |
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| Authors: | Pierre Raphaël Rémi Schweyer |
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| Affiliation: | 1. Laboratoire J.A. Dieudonné and Institut Universitaire de France, Université de Nice-Sophia Antipolis, Nice, France
2. Institut de Mathématiques de Toulouse, Université Toulouse III, Toulouse, France
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| Abstract: | We consider the two dimensional parabolic-elliptic Keller–Segel model of chemotactic aggregation for radially symmetric initial data. We show the existence of a stable mechanism of singularity formation and obtain a complete description of the associated aggregation process. |
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