This article is cited in 2 papers

Mathematical models and computer experiment

Turing's instability of three-component systems of diffusion-reaction type. Reaction $(\mathrm{NO}+\mathrm{CO})/\mathrm{Pt}(100)$

G. G. Yelenin, E. S. Kurkina

M. V. Lomonosov Moscow State University

Abstract: Existence conditions for diffusion instability are defined for a class of three-component reaction-diffusion type systems. It was found, which features the diffusion and stable Jacoby matrixes should exhibit to make spatially uniform stationary solution be unstable. The mathematical model of heterogeneous catalytical reaction $\mathrm{NO}+\mathrm{CO}$ on platinum catalyst is considered. It is shown, that the stationary dissipative structures may appear in certain parameter. regions (partial pressures, temperature) in the case of preferential mobility of either $\mathrm{NO}$ or $\mathrm{NO}$ molecules.

UDC: 519.6:541.128.13

Received: 20.01.1994

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