Multiple peak aggregations for the Keller-Segel system

preprint2012arXivOpen access

Abstract

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 8πN8πN, where N=1,2,3,...N=1,2,3,... Previously available asymptotics had been computed only for the case in which N=1.

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