郑斯宁
109

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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A hyperbolic-elliptic-elliptic system of an attraction-repulsion chemotaxis model with nonlinear productions

点击次数:0000104792

论文类型:期刊论文

发表时间:2018-06-01

发表刊物:JOURNAL OF EVOLUTION EQUATIONS

收录刊物:SCIE

卷号:18

期号:2

页面范围:973-1001

ISSN号:1424-3199

关键字:Hyperbolic-elliptic-elliptic system; Attraction-repulsion; Nonlinear production; Chemotaxis; Logistic source; Boundedness; Blowup

摘要:This paper studies the hyperbolic-elliptic-elliptic system of an attraction-repulsion chemotaxis model with nonlinear productions and logistic source: , , , in a bounded domain , , subject to the non-flux boundary condition. We at first establish the local existence of solutions (the so-called strong -solutions, satisfying the hyperbolic equation weakly and solving the elliptic ones classically) to the model via applying the viscosity vanishing method and then give criteria on global boundedness versus finite- time blowup for them. It is proved that if the attraction is dominated by the logistic source or the repulsion with , the solutions would be globally bounded; otherwise, the finite-time blowup of solutions may occur whenever . Under the balance situations with , or , the boundedness or possible finite-time blowup would depend on the sizes of the coefficients involved.