LINEAR AND NONLINEAR FRONT SELECTION FOR REACTION-DIFFUSION EQUATIONS

Many reaction-diffusion equations exhibit front solutions. These solutions connect two asymptotic states and propagates at a constant speed. The main problem is to compute the speed of the front selected by the dynamics. The conventional methods rely on the computation of exact solutions. However, these solutions can not be computed in general. A review of the different techniques and known bounds are given and a detailed analysis of a 2D reaction-diffusion equation is given.