Advection Induced Patterns in the Brusselator Model

The Brusselator model is widely used to illustrate and study basic features of models of chemical reactions involving trimolecular steps. The spatially homogeneous steady state of the model can be destabilized either via a Hopf bifurcation due to the reaction kinetics or via the Turing instability mechanism (sufficiently small ratio of the diffusion coefficients).The interplay between the two bifurcations provided an interesting subject for numerical investigation, [4], as there are no analytical results. The parameter domain comprises essentially three regions: (i) stable spatially homogeneous steady state (SS); (ii) stable Turing patterns (TP); (iii) bulk oscillations.