Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions

被引：6

作者：

Naito, Yuki ^{[1
]}

机构：

[1] Hiroshima Univ, Dept Math, Higashihiroshima 7398526, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 297卷

关键词：

Chemotaxis; Blow-up of solutions; Global existence of solutions; CAUCHY-PROBLEM; DIFFUSION; ATTRACTION;

D O I：

10.1016/j.jde.2021.06.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the simplest parabolic-elliptic model of chemotaxis in space dimensions N >= 3, and show the optimal conditions on the initial data for the finite time blow-up and the global existence of solutions in terms of stationary solutions. Our argument is based on the study of the Cauchy problem for the transformed equation involving the averaged mass of the solution. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：144 / 174

页数：31

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