Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898638 | Journal of Differential Equations | 2018 | 52 Pages |
Abstract
This paper is concerned with the existence and qualitative properties of transition fronts for time periodic bistable reaction-diffusion equations in RN. We first show that any almost-planar transition front is actually planar, regardless of the number of transition layers. Then we prove that all transition fronts admit a global mean speed γ and it holds γ=|c|, where c is the speed of the planar traveling front. Finally we establish the existence of a transition front in RN that is not a standard traveling front. Such a front behaves like three moving time periodic planar fronts as time goes to ââ and like a time periodic V-shaped traveling front as time goes to â.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wei-Jie Sheng, Hong-Jun Guo,