Global radial solutions in classical Keller-Segel model of chemotaxis

被引：13
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
收藏
页码：6352 / 6369
页数：18
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