Boundedness and global solvability to a chemotaxis model with nonlinear diffusion

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Jin, Chunhua¹ 

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

关键词: Chemotaxis system;    Nonlinear diffusion;    Logistic source;    Boundedness;   

DOI  :  10.1016/j.jde.2017.06.034

来源: Elsevier

【 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.

【 授权许可】

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