Large time behavior of solutions to a chemotaxis model with porous medium diffusion

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:478

Article

Jin, Chunhua¹ 

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

关键词: Chemotaxis system;    Porous rnedium diffusion;    Logistic source;    Large time behavior;   

DOI  :  10.1016/j.jmaa.2019.05.027

来源: Elsevier

【 摘 要 】

In this paper, we study the large time behavior of a chemotaxis model with nonlinear diffusion and consumption {u(t) = Delta u(m) - del.(u del nu) + mu u(1 - u), v(t) - Delta v =-vu, where m > 1. In a previous paper [5[, we have proved the existence and uniform boundedness of global weak solutions for any nonnegative initial data and any m > 1. In this work, we show that the weak solutions strongly converge to (1,0) in the large time limit. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free