Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system

被引：17
|
作者：
Lankeit, Johannes [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Angew Math, Welfengarten 1, D-30167 Hannover, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 504卷 / 02期
关键词：
Chemotaxis; Attraction-repulsion; Blow-up; NONRADIAL SOLUTIONS; BOUNDEDNESS; STABILIZATION; AGGREGATION; EXISTENCE; MODEL;
D O I：
10.1016/j.jmaa.2021.125409
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the attraction-repulsion chemotaxis system {u(t) = Delta(u) - chi del.(u del v(1)) + xi del.(v del v(2)) partial derivative(t)v(1) = Delta v(1) - beta v(1) + alpha u partial derivative(t)v(2) = Delta v(2) - delta v(2) + gamma u, posed with homogeneous Neumann boundary conditions in bounded domains Omega = B-R subset of R-3, R > 0, admits radially symmetric solutions which blow-up in finite time if it is attraction-dominated in the sense that chi alpha - xi gamma > 0. (C) 2021 Elsevier Inc. All rights reserved.
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页数：16
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