External fluctuations in front dynamics with inertia: The overdamped limit

We study the dynamics of fronts when Loth inertial effects and external flu ctuations 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 find that important fea tures of the system, such as the velocity selection picture, are not modifi ed by the noise. We then compute the overdamped limit of the underdamped dy namics in a more careful way, finding that it does not exhibit any effect o f noise either. Our result poses the question as to whether or not external noise sources can be measured in physical systems of this kind.