郑斯宁

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:男

毕业院校:吉林大学

学位:博士

所在单位:数学科学学院

学科:基础数学

办公地点:创新园大厦 A1032

电子邮箱:snzheng@dlut.edu.cn

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Critical mass for an attraction-repulsion chemotaxis system

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论文类型:期刊论文

发表时间:2018-01-01

发表刊物:APPLICABLE ANALYSIS

收录刊物:SCIE、Scopus

卷号:97

期号:13

页面范围:2349-2354

ISSN号:0003-6811

关键字:Chemotaxis; Keller-Segel system; attraction-repulsion; boundedness; blow-up

摘要:This paper determines the critical mass for the attraction-repulsion chemotaxis system: ut = Delta u-chi del center dot (u. v)+ center dot (u. w), 0 = Delta v+ alpha u - beta v, 0 = Delta w +. u -dw, subject to the non-flux boundary condition in a bounded domain Delta R2 with.,. = 0, a, ss,., d > 0. It was known that the solutions are globally bounded if.a -.. < 0. In this paper, we prove with.a -.. > 0 that the solutions must be globally bounded whenever the initial mass integral(Omega)u0(x)dx > 4/chi alpha-xi gamma., and the finite time blow-up may occur if integral(Omega)u0(x)dx > 4/chi alpha-xi gamma.