ENTIRE SOLUTIONS OF BISTABLE REACTION-DIFFUSION SYSTEMS IN UNBOUNDED DOMAIN WITH MULTIPLE CYLINDRICAL BRANCHES

被引：0
|
作者：
Li, Xiaomei [1 ]
Li, Linlin [2 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 09期
关键词：
Bistable reaction-diffusion systems; multiple cylindrical branches; entire solutions; complete propagation; asymptotic behaviors; TRAVELING-WAVE SOLUTIONS; TRANSITION FRONTS; EQUATIONS; CYLINDER;
D O I：
10.3934/dcdsb.2024026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with bistable reaction-diffusion systems in unbounded domains with multiple cylindrical branches. We first prove the existence of the entire solution u(t,x) emanating from planar fronts in some branches. Then, under the assumption that the propagation of u(t,x) is complete, we prove that u(t,x) converges to planar fronts in the other branches as t ->+infinity. Finally, we give some sufficient conditions such that the entire solution propagates completely.
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页码：3856 / 3886
页数：31
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