Sharp condition for blow-up and global existence in a two species chemotactic Keller-Segel system in R2

被引：33

作者：

Espejo, Elio ^{[1
]}

Vilches, Karina ^{[2
,3
]}

Conca, Carlos ^{[4
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Univ Chile, UMI CNRS 2807, DIM, Santiago, Chile

[3] Univ Chile, UMI CNRS 2807, CMM, Santiago, Chile

[4] Univ Chile, Inst Cell Dynam & Biotechnol, Santiago, Chile

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2013年 / 24卷

关键词：

chemotaxis; multicomponent Keller-Segel model; sharp conditions; MODEL;

D O I：

10.1017/S0956792512000411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the parabolic-elliptic Keller-Segel system in R-2 it has been proved that if the initial mass is less than 8 pi/chi, a global solution exists, and in case the initial mass is larger than 8 pi/chi, blow-up happens. The case of several chemotactic species introduces an additional question: What is the analog for the critical mass obtained for the single species system? We find a threshold curve in the two species case that allows us to determine if the system is a blow-up or a global in time solution. No radial symmetry is assumed.

引用

页码：297 / 313

页数：17

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