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.
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页码：319 / 352
页数：34
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