Electron. J. Differential Equations, Vol. 2020 (2020), No. 112, pp. 1-29.

Pyramidal traveling fronts in the Belousov-Zhabotinskii reaction-diffusion systems in R^3

Luyi Ma, Hong-Tao Niu, Zhi-Cheng Wang

Abstract:
In this article, we consider a diffusion system with the Belousov-Zhabotinskii (BZ for short) chemical reaction. The existence and stability of V-shaped traveling fronts for the BZ system in $\mathbb{R}^2$ had been proved in our previous papers [30, 31]. Here we establish the existence and stability of pyramidal traveling fronts for the BZ system in $\mathbb{R}^3$.

Submitted April 3, 2020. Published November 12, 2020.
Math Subject Classifications: 35K40, 35K57, 35C07.
Key Words: Belousov-Zhabotinskii reaction; pyramidal traveling fronts; supersolution; subsolution.
DOI: 10.58997/ejde.2020.112

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Luyi Ma
School of Mathematics and Statistics
Lanzhou University
Lanzhou, Gansu 730000, China
email: maly16@lzu.edu.cn
Hong-Tao Niu
School of Mathematics and Statistics
Xuzhou Institute of Technology
Xuzhou, Jiangsu 221000, China
email: aniuht@163.com
Zhi-Cheng Wang
School of Mathematics and Statistics
Lanzhou University
Lanzhou, Gansu 730000, China
email: wangzhch@lzu.edu.cn

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