Electronic Journal of Differential Equations (Nov 2020)

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

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

Journal volume & issue
Vol. 2020, no. 112,
pp. 1 – 29

Abstract

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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