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Indexed by:期刊论文

Date of Publication:2017-04-01

Journal:NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals:SCIE、EI、ESI高被引论文、Scopus

Volume:34

Page Number:335-342

ISSN No.:1468-1218

Key Words:Chemotaxis; Attraction-repulsion; Blow-up; Nonradial solutions; Keller-Segel system

Abstract: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.