Global existence and uniqueness of solutions for one-dimensional 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, we provide a mathematical framework in studying the wave propagation with the annihilation phenomenon in excitable media. We deal with the existence and uniqueness of solutions to a one-dimensional free boundary problem (called a reaction–interface system) arising from the singular limit of a FitzHugh–Nagumo type reaction–diffusion system. Because of the presence of the annihilation, interfaces may intersect each other. We introduce the notion of weak solutions to study the continuation of solutions beyond the annihilation time. Under suitable conditions, we show that the free boundary problem is well-posed.

原文English
頁(從 - 到)102-130
頁數29
期刊Journal of Differential Equations
324
DOIs
出版狀態Published - 5 7月 2022

指紋

深入研究「Global existence and uniqueness of solutions for one-dimensional reaction-interface systems」主題。共同形成了獨特的指紋。

引用此