期刊
NONLINEARITY
卷 34, 期 10, 页码 6750-6772出版社
IOP Publishing Ltd
DOI: 10.1088/1361-6544/abd529
关键词
reaction-diffusion systems; entire solutions; complete propagation; incomplete propagation
资金
- NSF [1826801]
- Office of Integrative Activities
- Office Of The Director [1826801] Funding Source: National Science Foundation
This paper investigates a bistable monotone reaction-diffusion system in cylindrical domains. The existence of the entire solution emanating from a planar front is first proven, followed by showing the convergence of the entire solution to a planar front under certain conditions. Geometrical conditions on the domain for complete or incomplete propagation of the entire solution are also provided.
In this paper, we consider a bistable monotone reaction-diffusion system in cylindrical domains. We first prove the existence of the entire solution emanating from a planar front. Then, it is proved that the entire solution converges to a planar front if the propagation is complete and the domain is bilaterally straight. Finally, we give some geometrical conditions on the domain such that the propagation of the entire solution is complete or incomplete, respectively.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据