Stability of Convective Patterns in Reaction Fronts: A Comparison of Three Models

Chemical fronts propagating in vertical cylinders exhibit flat, nonaxisymmetric, and axisymmetric fronts. The different types of fronts are determined by convection. In the case of flat fronts, there is no convection. For nonaxisymmetric fronts, fluid rises on one side and falls on the opposite side of the tube. For axisymmetric fronts, fluid rises in the middle of the tube and falls on the sides. In this work we model the transition between different fronts using a two-dimensional domain. We compared three different models of front propagation, one based on a reaction-diffusion-advection equation, the other on a front propagation equation, and finally a low-dimensional model. We study the stability of different solutions