Stability of pyramidal traveling fronts in time-periodic reaction-diffusion equations with degenerate monostable and ignition nonlinearities

被引：0
作者：
Liu, Yuan-Hao [1 ]
Bu, Zhen-Hui [1 ]
Zhang, Suobing [2 ]
机构：
[1] Northwest A&F Univ, Coll Sci, Yangling 712100, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2025年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
reaction-diffusion equations; time-periodic; monostable nonlinearity; ignition nonlinearity; stability; pyramidal traveling fronts; FISHER-KPP EQUATION; CURVED FRONTS; GLOBAL STABILITY; BLOW-UP; EXISTENCE; WAVES; COMBUSTION; PROPAGATION; SYSTEMS; SPREAD;
D O I：
10.1515/anona-2025-0079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is concerned with the stability of time-periodic traveling fronts for reaction-diffusion equations with time-periodic degenerate monostable and ignition nonlinearities. Based on the existence of pyramidal traveling fronts established by Bu et al., we characterize the pyramidal traveling front as a combination of planar fronts on the lateral surfaces and establish some important estimates. Then, we show the asymptotic stability of pyramidal traveling fronts by using the sub-super solution method combined with the comparison principle.
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页数：33
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