Multidimensional stability of traveling fronts in monostable reaction-difusion equations with complex perturbations  

作　　者：ZENG HuiHui 

机构地区：[1]Mathematical Sciences Center,Tsinghua University

出　　处：《Science China Mathematics》2014年第2期353-366,共14页中国科学：数学（英文版）

基　　金：supported by National Science Foundation of USA(Grant No.DMS-0818717)

摘　　要：This paper studies the multidimensional stability of traveling fronts in monostable reaction-difusion equations,including Ginzburg-Landau equations and Fisher-KPP equations.Eckmann and Wayne(1994)showed a one-dimensional stability result of traveling fronts with speeds c c(the critical speed)under complex perturbations.In the present work,we prove that these traveling fronts are also asymptotically stable subject to complex perturbations in multiple space dimensions(n=2,3),employing weighted energy methods.This paper studies the multidimensional stability of traveling fronts in monostable reaction-difusion equations,including Ginzburg-Landau equations and Fisher-KPP equations.Eckmann and Wayne（1994）showed a one-dimensional stability result of traveling fronts with speeds c c（the critical speed）under complex perturbations.In the present work,we prove that these traveling fronts are also asymptotically stable subject to complex perturbations in multiple space dimensions（n=2,3）,employing weighted energy methods.

关 键 词：traveling fronts reaction-diffusion equations multi-dimensional stability 

分 类 号：O175.13[理学—数学]