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论文类型：期刊论文

发表时间：2017-04-01

发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

收录刊物：SCIE、EI、ESI高被引论文、Scopus

卷号：34

页面范围：335-342

ISSN号：1468-1218

关键字：Chemotaxis; Attraction-repulsion; Blow-up; Nonradial solutions; Keller-Segel system

摘要：This paper considers the attraction-repulsion chemotaxis system: u(t) = Delta u - chi del. (u del v) + xi del . (u del w), 0 = Delta v + alpha u - beta v, 0 = Delta w-gamma u - delta w, subject to the non flux boundary condition in a smooth bounded domain Omega subset of R-2, with chi,xi >= 0, alpha, beta, gamma > 0. We establish the finite time blow-up conditions for nonradial solutions that the finite time blow-up occurs at x(0) is an element of Omega whenever integral(Omega)u(0)(x)dx > 8 pi/(chi alpha-xi gamma) with chi alpha - xi gamma > 0, under integral(Omega)u(0)(x)vertical bar x - x(0)vertical bar(2)dx sufficiently small. This does agree with the known blow-up conditions for radial solutions of the same model. The previous blow-up conditions for nonradial solutions are more complicated involving a classification to the sign of delta - beta. (C) 2016 Elsevier Ltd. All rights reserved.