Global radial solutions in classical Keller-Segel model of chemotaxis

被引：11

作者：

Biler, Piotr ^{[1
]}

Karch, Grzegorz ^{[1
]}

Pilarczyk, Dominika ^{[2
]}

机构：

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

[2] Wroclaw Univ Technol, Wydzial Matemat, Wybrzeze Wyspianskiego 37, Wroclaw, Poland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 11期

关键词：

Chemotaxis; Global existence of solutions; SYMMETRIC-SOLUTIONS; NAVIER-STOKES; MORREY SPACES; BLOW-UP; 8-PI-PROBLEM; EXISTENCE; CRITERIA; SYSTEM;

D O I：

10.1016/j.jde.2019.06.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the simplest parabolic-elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the existence of radially symmetric global-in-time solutions in terms of suitable Morrey norms are derived. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：6352 / 6369

页数：18

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