纺织高校基础科学学报2017，Vol.30Issue(3)：318-324,330,8.DOI:10.13338/j.issn.1006-8341.2017.03.005
等离子体中带有交叉扩散的反应-扩散模型的图灵不稳定性和行波
Turing instability and traveling fronts for a reaction-diffusion model with cross-diffusion in plasmas
摘要
Abstract
The model of turbulence shear flow interaction has been widely studied in the magnetically confined plasmas,and an important problem is to understand how Turing pattern forms.The influence of cross-diffusion on a magnetically confined plasmas model is concerned.Stability at the equilibrium points are analyzed by linear analysis,it is shown that the diffusion term is the key mechanism of pattern formation.Then through the expansion of multiple scales,time scale and spatial scale are separated into fast scale and slow scale.The result of weakly nonlinear analysis indicates that the solution of real Ginzburg-Landau equation describes the amplitude equation.关键词
反应-扩散/图灵失稳/振幅方程/弱非线性展开/行波/等离子体Key words
reaction-diffusion/Turing instability/amplitude equation/weakly nonlinear expansion/traveling fronts/plasmas分类
数理科学引用本文复制引用
凌赫阳,彭亚红..等离子体中带有交叉扩散的反应-扩散模型的图灵不稳定性和行波[J].纺织高校基础科学学报,2017,30(3):318-324,330,8.基金项目
Supported by the National Natural Science Foundation of China(11571227) （11571227）
