External fluctuations in front dynamics with inertia: the overdamped limit

We study the dynamics of fronts when both inertial e ects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative white noise arising from a control parameter of the system. Contrary to the non-inertial (overdamped) case, we nd that important features of the system, such as the velocity selection picture, are not modi ed by the noise. We then compute the overdamped limit of the underdamped dynamics in a more careful way, nding that it does not exhibit any e ect of noise either. Our result poses the question as to whether or not external noise sources can be measured in physical systems of this kind.Publicad