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arxiv: 1209.2517 · v1 · pith:LYY3HZWUnew · submitted 2012-09-12 · 🧮 math.AP

On the stability of critical chemotactic aggregation

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keywords aggregationchemotacticassociatedcompleteconsidercriticaldatadescription
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We consider the two dimensional parabolic-elliptic Patlak-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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