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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
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.