STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS

doi:10.1016/S0252-9602(16)30041-8

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 802-814.doi: 10.1016/S0252-9602(16)30041-8

STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS

盛伟杰

Natural Science Research Center, Harbin Institute of Technology, Harbin 150080, China

收稿日期:2015-03-13 修回日期:2015-05-28 出版日期:2016-06-25 发布日期:2016-06-25
作者简介:Weijie SHENG,E-mail:shengwj09@hit.edu.cn
基金资助:
This work was supported by National Natural Science Foundation of China (11401134), China Postdoctoral Science Foundation Funded Project (2012M520716), the Fundamental Research Funds for the Central Universities (HIT.NSRIF.2014063)

STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS

Weijie SHENG

Natural Science Research Center, Harbin Institute of Technology, Harbin 150080, China

Received:2015-03-13 Revised:2015-05-28 Online:2016-06-25 Published:2016-06-25
Supported by:
This work was supported by National Natural Science Foundation of China (11401134), China Postdoctoral Science Foundation Funded Project (2012M520716), the Fundamental Research Funds for the Central Universities (HIT.NSRIF.2014063)

摘要/Abstract

摘要：

This paper is concerned with the global exponential stability of time periodic traveling fronts of reaction-advection-diffusion equations with time periodic bistable nonlinearity in infinite cylinders. It is well known that such traveling fronts exist and are asymptotically stable. In this paper, we further show that such fronts are globally exponentially stable. The main difficulty is to construct appropriate supersolutions and subsolutions.

关键词: stability, reaction-advection-diffusion equations, bistable, time periodic traveling fronts

Abstract:

Key words: stability, reaction-advection-diffusion equations, bistable, time periodic traveling fronts

中图分类号:

35B35

盛伟杰. STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS[J]. 数学物理学报(英文版), 2016, 36(3): 802-814.

Weijie SHENG. STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS[J]. Acta mathematica scientia,Series B, 2016, 36(3): 802-814.

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STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS

STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS

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