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.
引用
收藏
页码：689 / 693
页数：5
相关论文
共 50 条
  • [21] Pattern dynamics in a bimolecular reaction-diffusion model with saturation law and cross-diffusion
    Lian, Li-Na
    Yan, Xiang-Ping
    Zhang, Cun-Hua
    CHAOS SOLITONS & FRACTALS, 2025, 192
  • [22] Cross-diffusion induced spatiotemporal patterns in Schnakenberg reaction-diffusion model
    Yang, Rui
    NONLINEAR DYNAMICS, 2022, 110 (02) : 1753 - 1766
  • [23] On pattern formation in reaction-diffusion systems containing self- and cross-diffusion
    Aymard, Benjamin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 105
  • [24] A reaction-diffusion system with cross-diffusion modeling the spread of an epidemic disease
    Bendahmane, Mostafa
    Langlais, Michel
    JOURNAL OF EVOLUTION EQUATIONS, 2010, 10 (04) : 883 - 904
  • [25] Cross-diffusion induced Turing instability for a competition model with saturation effect
    Li, Qiang
    Liu, Zhijun
    Yuan, Sanling
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 347 : 64 - 77
  • [26] A reaction-diffusion system with cross-diffusion modeling the spread of an epidemic disease
    Mostafa Bendahmane
    Michel Langlais
    Journal of Evolution Equations, 2010, 10 : 883 - 904
  • [27] Turing instabilities in reaction-diffusion systems with cross diffusion
    Duccio Fanelli
    Claudia Cianci
    Francesca Di Patti
    The European Physical Journal B, 2013, 86
  • [28] Delay-induced Turing instability in reaction-diffusion equations
    Zhang, Tonghua
    Zang, Hong
    PHYSICAL REVIEW E, 2014, 90 (05):
  • [29] Turing instabilities in reaction-diffusion systems with cross diffusion
    Fanelli, Duccio
    Cianci, Claudia
    Di Patti, Francesca
    EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (04):
  • [30] Turing instability and pattern formation of neural networks with reaction-diffusion terms
    Zhao, Hongyong
    Huang, Xuanxuan
    Zhang, Xuebing
    NONLINEAR DYNAMICS, 2014, 76 (01) : 115 - 124
12345