Pattern formation for a nonlinear diffusion chemotaxis model with logistic source

Pattern formation for a nonlinear diffusion chemotaxis model with logistic source

Abstract This paper deals with a Neumann boundary value problem in a d-dimensional box Td=(0,π)d $\mathbb{T}^{d}=(0,\pi)^{d}$ ( d=1,2,3 $d=1, 2, 3$) for a nonlinear diffusion chemotaxis model with logistic source. By using the embedding theorem, the higher-order energy estimates and bootstrap argume...

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Bibliographic Details
Main Authors: Chengying Niu, Haiyan Gao, Shenghu Xu, Guohua Yang
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Boundary Value Problems
Subjects:
Chemotaxis
Nonlinear diffusion
Pattern formation
Nonlinear instability
Online Access:http://link.springer.com/article/10.1186/s13661-018-0976-0

Internet

http://link.springer.com/article/10.1186/s13661-018-0976-0

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