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How to localize a ballistic annihilation front

We study the possibility of localization of the front present in a one-dimensional ballistically controlled annihilation model in which the two annihilating species are initially spatially separated. We show that the front can be localized by taking as initial condition an inhomogeneous Poisson-type distribution. Nous etudions la possibilite de la localisation du front de reaction qui se forme a l'interface d'un modele d'annihilation balistique unidimensional a deux especes initialement separees spatialement. Nous montrons que le front peut etre localise, si les particules sont initialement distribuees selon une loi de Poisson inhomogene.