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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:504

Article

Lankeit, Johannes¹ 

[1] Leibniz Univ Hannover, Inst Angew Math, Welfengarten 1, D-30167 Hannover, Germany

关键词: Chemotaxis;    Attraction-repulsion;    Blow-up;   

DOI  :  10.1016/j.jmaa.2021.125409

来源: Elsevier

【 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.

【 授权许可】

Free