Chemical dynamics versus transport dynamics in a simple model

Reaction equations of homogeneously mixed pollutants in the atmosphere can lead to non-stationary periodic solutions. It is important to know how these solutions are modified under the influence of the atmospheric currents. We investigate this question in a very simple one-dimensional model: the reactions are modelled by the brusselator and the currents are represented by a uniform stream with periodic boundary conditions. In the limit of strong currents we again find the homogeneous solutions whereas for weaker currents complicated spatial and temporal patterns emerge. The role of diffusion is also investigated.