Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis

被引：13

作者：

Biler, Piotr ^{[1
]}

Zienkiewicz, Jacek ^{[1
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2019年 / 19卷 / 01期

关键词：

Chemotaxis; Blowup of solutions; Radial solutions; CAUCHY-PROBLEM; BLOWUP; DIFFUSION; EQUATIONS; CRITERIA;

D O I：

10.1007/s00028-018-0469-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the simplest parabolic-elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the blowup of radially symmetric solutions in terms of suitable Morrey spaces norms are derived.

引用

页码：71 / 90

页数：20