Critical mass for an attraction–repulsion chemotaxis system. Issue 13 (3rd October 2018)

• Record Type: Journal Article
• Authors: Guo, Qian; Jiang, Zhaoxin; Zheng, Sining
• Is Part Of: Applicable analysis. Volume 97:Issue 13(2018)
• Page Start: 2349
• Page End: 2354
• Publication Date: 2018-10-03
• Subjects: Chemotaxis -- Keller–Segel system -- attraction–repulsion -- boundedness -- blow-up; 35K55 -- 35B35 -- 35B40 -- 92C17; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1366989
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: This paper determines the critical mass for the attraction–repulsion chemotaxis system:, , , subject to the non-flux boundary condition in a bounded domain with, . It was known that the solutions are globally bounded if . In this paper, we prove with that the solutions must be globally bounded whenever the initial mass, and the finite time blow-up may occur if .