Turing Instability and Pattern Induced by Cross-Diffusion for a Nonlinear Reaction-Diffusion System of Turbulence-Shear Flow Interaction

被引：0
|
作者：
周辉 [1 ]
彭亚红 [1 ]
机构：
[1] College of Science,Donghua University
来源：
JournalofDonghuaUniversity(EnglishEdition) | 2017年 / 34卷 / 05期
基金：
中国国家自然科学基金;
关键词：
pattern formation; amplitude equation; cross-diffusion; Turing instability;
D O I：
10.19884/j.1672-5220.2017.05.013
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The Turing instability and the phenomena of pattern formation for a nonlinear reaction-diffusion(RD) system of turbulence-shear flowinteraction are investigated.By the linear stability analysis,the essential conditions for Turing instability are obtained.It indicates that the emergence of cross-diffusion terms leads to the destabilizing mechanism.Then the amplitude equations and the asymptotic solutions of the model closed to the onset of instability are derived by using the weakly nonlinear analysis.
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页码：689 / 693
页数：5
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