Abstract
Travelling reaction-diffusion waves are considered in a finite medium. The model considered is a simplified model of the Belousov-Zhabotinskii reaction, described mathematically by the two-variable Oregonator. A one-dimensional problem consisting of three regions is considered. Regions I (x ⩽ 0) and III (x ⩾ 1) act as reservoirs with fixed concentrations of the reactant X (the autocatalyst, hypobromous acid (HBrO2)), where the concentration of X in regions I and III may be different. Region II represents a catalyst-loaded membrane, within which species X can diffuse while species Z (the oxidized form of the metal-ion catalyst (Ce(IV))) is fixed spatially. The large time behaviour of the system is considered and both stable steady states and periodic spatio-temporal structures are seen.
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Leach, J.A., Merkin, J.H. & Scott, S.K. Oscillations and waves in the Belousov-Zhabotinskii reaction in a finite medium. J Math Chem 16, 115–124 (1994). https://doi.org/10.1007/BF01169200
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DOI: https://doi.org/10.1007/BF01169200