Multiple peak aggregations for the Keller-Segel system

被引：5

作者：

Seki, Yukihiro ^{[1
]}

Sugiyama, Yoshie ^{[2
]}

Velazquez, Juan J. L. ^{[1
]}

机构：

[1] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

[2] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

来源：

NONLINEARITY | 2013年 / 26卷 / 02期

关键词：

CONCENTRATION REGIONS; CHEMOTAXIS MODEL; POINT DYNAMICS; SINGULAR LIMIT; CRITICAL MASS; R-2; EXISTENCE;

D O I：

10.1088/0951-7715/26/2/319

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：319 / 352

页数：34

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