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

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 $\mathbb{R}^3$.

Keywords

• belousov-zhabotinskii reaction
• pyramidal traveling fronts
• supersolution
• subsolution