Inserted: 27 dec 2009
Last Updated: 9 jan 2011
Journal: J. Differential Equations
For scalar reaction-diffusion equations in one space dimension, it is known for a long time that fronts move with an exponentially small speed for potentials with several distinct minimizers. 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 the localized energy. This approach has the advantage to relax the preparedness assumptions on the initial datum.
Keywords: reaction-diffusion systems, interfaces, fronts, slow motion