Author:
Ma Luyi,Niu Hong-Tao,Wang Zhi-Cheng
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 \(\mathbb{R}^3\).
For more information see https://ejde.math.txstate.edu/Volumes/2020/112/abstr.html
Reference47 articles.
1. B. P. Belousov; A periodic reaction and its mechanism. Ref. Radiat. Med. Medgiz, (1959), 145.
2. A. Bonnet, F. Hamel; Existence of nonplanar solutions of a simple model of premixed Bunsen flames. SIAM J. Math. Anal., 31 (1999), 80-118. https://doi.org/10.1137/S0036141097316391
3. Z.-H. Bu, Z.-C. Wang; Stability of pyramidal traveling fronts in the degenerate monostable and combustion equations I. Discrete Contin. Dyn. Syst., 37 (2017), 2395-2430. https://doi.org/10.3934/dcds.2017104
4. C. Conley, R. Gardner; An application of the generalized Morse index to travelling wave solutions of a competitive reaction-diffusion model. Indiana Univ. Math. J., 33 (1984), 319- 343. https://doi.org/10.1512/iumj.1984.33.33018
5. D. Finkelshtein, Y. Kondratiev, P. Tkachov; Existence and properties of traveling waves for doubly nonlocal Fisher-KPP equations, Electron. J. Differential Equations, 2019 (2019), No. 10, 1-27.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献