Multiple peak aggregations for the Keller-Segel system

Details Multiple peak aggregations for the Keller-Segel system Multiple peak aggregations for the Keller-Segel system

2012-03-05

arxiv.org/abs/1203.0916v1

Mathematics

Analysis of PDEs

Scientific paper

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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