PATTERN AND VELOCITY SELECTION OF FRONTS PROPAGATING IN MODULATED MEDIA

We study the problem of pattern and velocity selection of morphologica lly stable two-dimensional fronts propagating in a spatially modulated medium. The generic system is governed by a local equation and evolve s towards a non-trivial steady state with a spatial structure which ar ises from non-local competition effects and does not necessarily mimic the local structure externally fixed by the modulation. The dynamical process leading to this steady state is studied both analytically and numerically.