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

共 50 条

[11] Global existence of weak solutions to a signal-dependent Keller-Segel model for local sensing chemotaxis
Li, Haixia
Jiang, Jie
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
[12] Keller-Segel Chemotaxis Models: A Review
Gurusamy Arumugam
Jagmohan Tyagi
Acta Applicandae Mathematicae, 2021, 171
[13] Keller-Segel Chemotaxis Models: A Review
Arumugam, Gurusamy
Tyagi, Jagmohan
ACTA APPLICANDAE MATHEMATICAE, 2021, 171 (01)
[14] Blowing up radial solutions in the minimal Keller–Segel model of chemotaxis
Piotr Biler
Jacek Zienkiewicz
Journal of Evolution Equations, 2019, 19 : 71 - 90
[15] Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions
Naito, Yuki
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 297 : 144 - 174
[16] EXISTENCE OF SOLUTIONS OF THE HYPERBOLIC KELLER-SEGEL MODEL
Perthame, Benoit
Dalibard, Anne-Laure
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (05) : 2319 - 2335
[17] Blowup of solutions to generalized Keller-Segel model
Biler, Piotr
Karch, Grzegorz
JOURNAL OF EVOLUTION EQUATIONS, 2010, 10 (02) : 247 - 262
[18] Exact solutions of the simplified Keller-Segel model
Cherniha, Roman
Didovych, Maksym
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (11) : 2960 - 2971
[19] Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model
Xingjie Helen Li
Chi-Wang Shu
Yang Yang
Journal of Scientific Computing, 2017, 73 : 943 - 967
[20] A study of blow-ups in the Keller-Segel model of chemotaxis
Fatkullin, Ibrahim
NONLINEARITY, 2013, 26 (01) : 81 - 94

← 1 2 3 4 5 →