Artículos de revistas
ON THE MINIMAL SPEED OF FRONT PROPAGATION IN A MODEL OF THE BELOUSOV-ZHABOTINSKY REACTION
Registro en:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 19 (6): 1769-1781
1553-524X
Autor
Trofimchuk, E.
Pinto, M.
Trofimchuk, S.
Institución
Resumen
Univ Talca, Inst Matemat & Fis, Talca, Chile. Trofimchuk, S (Trofimchuk, Sergei) In this paper, we answer the question about the existence of the minimal speed of front propagation in a delayed version of the Murray model of the Belousov-Zhabotinsky (BZ) chemical reaction. It is assumed that the key parameter r of this model satisfies 0 < r <= 1 that makes it formally monostable. By proving that the set of all admissible speeds of propagation has the form [c(*), +infinity), we show here that the BZ system with r is an element of (0, 1] is actually of the monostable type (in general, c(*) is not linearly determined). We also establish the monotonicity of wavefronts and present the principal terms of their asymptotic expansions at infinity (in the critical case r = 1 inclusive).