Global existence of solutions for a fully parabolic chemotaxis system with consumption of chemoattractant and logistic source期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Global existence of solutions for a fully parabolic chemotaxis system with consumption of chemoattractant and logistic source

Authors:	Pan Zheng Chunlai Mu

Affiliation:	1. College of Sciences, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China;2. College of Mathematics and Statistics, Chongqing University, Chongqing, P. R. China;3. +86 13883824338+86 02365678633

Abstract:	This paper deals with a fully parabolic chemotaxis system with consumption of chemoattractant and logistic source under homogeneous Neumann boundary conditions in a smooth bounded domain $urn:x-wiley:dummy:media:mana201300105:mana201300105-math-0002$ $urn:x-wiley:dummy:media:mana201300105:mana201300105-math-0003$ . The functions χ and f are assumed to generalize the chemotactic sensitivity function and logistic source respectively. Under some conditions, we obtain that the corresponding initial‐boundary value problem possesses a unique global classical solution that is uniformly bounded.

Keywords:	Global existence chemotaxis boundedness logistic source 35B35 35B40 35K55