Multiple peak aggregations for the Keller-Segel system

Yukihiro Seki, Yoshie Sugiyama, Juan J.L. Velázquez

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3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)319-352
Number of pages34
JournalNonlinearity
Volume26
Issue number2
DOIs
Publication statusPublished - Feb 1 2013

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Seki, Y., Sugiyama, Y., & Velázquez, J. J. L. (2013). Multiple peak aggregations for the Keller-Segel system. Nonlinearity, 26(2), 319-352. https://doi.org/10.1088/0951-7715/26/2/319