应用数学2016，Vol.29Issue(3)：563-575,13.
一类具有非线性扩散的趋化模型的非线性不稳定性
Nonlinear Instability for a Nonlinear Diffusion Chemotaxis Model
摘要
Abstract
This paper deals with nonlinear dynamics near an unstable constant equilibrium in a Neumann boundary value problem for a nonlinear diffusion chemotaxis model in a d-dimensional box Td =(0,π)d(d =1,2,3).It is proved that,given any general perturbation of magnitude δ,its nonlinear evolution is dominated by the corresponding linear dynamics along a finite number of fixed fastest growing modes,over a time period of the order ln 1/δ.Each initial perturbation certainly can behave drastically differently from another,which gives rise to the richness of patterns.关键词
非线性扩散/趋化模型/非线性不稳定性/斑图生成Key words
Nonlinear diffusion/Chemotaxis model/Nonlinear instability/Pattern formation分类
数理科学引用本文复制引用
高海燕..一类具有非线性扩散的趋化模型的非线性不稳定性[J].应用数学,2016,29(3):563-575,13.基金项目
国家自然科学基金(11361055),甘肃省自然科学基金(145RJZA033),甘肃省高等学校科研项目(2015A-093) （11361055）
