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arXiv · 1203.0916

Multiple peak aggregations for the Keller-Segel system

Yukihiro Seki·Yoshie Sugiyama·Juan J. L. Velázquez
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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 $8πN$, where $N=1,2,3,...$ Previously available asymptotics had been computed only for the case in which N=1.

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Yukihiro Seki, Yoshie Sugiyama, Juan J. L. Velázquez. 2012-03-05. Multiple peak aggregations for the Keller-Segel system. https://doi.org/10.1088/0951-7715%2F26%2F2%2F319

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