%0 Journal Article
%T Slow motion for gradient systems with equal depth multiple-well potentials
%A Fabrice Bethuel
%A Didier Smets
%A Giandomenico Orlandi
%J Mathematics
%D 2009
%I arXiv
%X For scalar reaction-diffusion in one space dimension, it is known for a long time that fronts move with an exponentially small speed for potentials with several distinct mini- mizers. The purpose of this paper is to provide a similar result in the case of systems. Our method relies on a careful study of the evolution of localized energy. This approach has the advantage to relax the preparedness assumptions on the initial datum.
%U http://arxiv.org/abs/0909.5315v2