Boundedness in a quasilinear chemotaxis model with consumption of chemoattractant and logistic source. Issue 5 (4th April 2018)

• Record Type: Journal Article
• Authors: Wang, Liangchen; Mu, Chunlai; Hu, Xuegang; Zheng, Pan
• Is Part Of: Applicable analysis. Volume 97:Issue 5(2018)
• Page Start: 756
• Page End: 774
• Publication Date: 2018-04-04
• Subjects: Chemotaxis -- global existence -- boundedness; 92C17 -- 35K55 -- 35B40; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1286645
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : This paper is devoted to the chemotaxis system with logistic source endowed with homogeneous Neumann boundary conditions and suitable initial conditions, where ( ) is a bounded and smooth domain. Here we assume that where, , and . Moreover, we will require for all with some, and . Then if one of the following cases hold: (i), where (ii) ; (iii) and b is sufficiently large, it is proved that the system possesses a unique global bounded classical solution.