Stability of some mechanisms of chemotactic aggregation

被引：51
|
作者：
Velázquez, JJL [1 ]
机构：
[1] Univ Complutense, Fac Matemat, Dept Matemat Aplicada, E-28040 Madrid, Spain
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2002年 / 62卷 / 05期
关键词：
Keller-Segel equations; chemotaxis; matched asymptotic expansions;
D O I：
10.1137/S0036139900380049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the stability of a blow-up mechanism for a particular Keller-Segel model that yields chemotactic aggregation is considered. It is shown using matched asymptotic methods that the considered blow-up mechanism is stable. More precisely, small perturbations of the initial data produce a small shifting on the blow-up time and the blow-up point but not modi cation in the blow-up mechanism.
引用
收藏
页码：1581 / 1633
页数：53
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