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

作　　者：周辉 彭亚红 

机构地区：[1]College of Science,Donghua University,Shanghai 201620,China

出　　处：《Journal of Donghua University(English Edition)》2017年第5期689-693,共5页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China(No.11371087)

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.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.

关 键 词：pattern formation amplitude equation CROSS-DIFFUSION Turing instability 

分 类 号：O175.26[理学—数学]