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.

引用

页数：16

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