Propagating fronts in reaction-diffusion systems

Propagating reaction-diffusion fronts constitute one of the paradigms in the realm of the nonlinear chemical phenomena. In this paper different situations are considered. Firstly, we discuss the problem of front propagation in a two-variable chemical system exhibiting multiple stationary states. Emphasis is put on the question of velocity selection. In section 3 of our contribution, the question of front propagating in spatially modulated and noisy media is addressed. Finally, we also briefly comment on the problem of reaction-diffusion fronts in non-quiescent media. In this particular scenario we simply aim at introducing the two basic propagation modes, i.e., thin versus distributed reaction fronts, that are identified in our numerical simulations.