WEAK ENTIRE SOLUTIONS OF REACTION–INTERFACE SYSTEMS

Yan Yu Chen, Hirokazu Ninomiya*, Chang Hong Wu

*此作品的通信作者

研究成果: Article同行評審

摘要

In this paper, the singular limit problems arising from FitzHugh–Nagumo–type reaction–diffusion systems are studied, which are called reaction–interface systems. All weak entire solutions originating from finitely many excited intervals are completely characterized. For weak entire solutions originating from infinitely many excited intervals, periodic wave trains and time-periodic solutions are discussed. In particular, we study the dispersion relation of periodic wave trains and investigate the dependence of the propagation speed on the period.

原文English
頁(從 - 到)6015-6033
頁數19
期刊Discrete and Continuous Dynamical Systems - Series B
28
發行號12
DOIs
出版狀態Published - 12月 2023

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