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arxiv: 1203.0916 · v1 · pith:W3RLIO45new · submitted 2012-03-05 · 🧮 math.AP

Multiple peak aggregations for the Keller-Segel system

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keywords keller-segelsystemaggregationaggregationsamountasymptoticasymptoticsavailable
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In this paper we derive matched asymptotic expansions for a solution of the Keller-Segel system in two space dimensions for which the amount of mass aggregation is $8\pi N$, where $N=1,2,3,...$ Previously available asymptotics had been computed only for the case in which N=1.

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