Boundedness and global solvability to a chemotaxis model with nonlinear diffusion

被引：23

作者：

Jin, Chunhua ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 09期

关键词：

Chemotaxis system; Nonlinear diffusion; Logistic source; Boundedness; KELLER-SEGEL SYSTEM; LOGISTIC SOURCE; STOKES SYSTEM; BLOW-UP; BEHAVIOR; SENSITIVITY; EXISTENCE; INVASION;

D O I：

10.1016/j.jde.2017.06.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a chemotaxis model with nonlinear diffusion Au-m (m > 1). We consider this problem in a bounded domain Omega subset of R-3 with zero-flux boundary condition, and it is shown that for any large initial datum, for any m > 1, the problem admits a global weak solution, which is uniformly bounded. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：5759 / 5772

页数：14

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