Slow motion for gradient systems with equal depth multiple-well potentials
Analysis of PDEs
2009-10-09 v2 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.0909.5315,
title = {Slow motion for gradient systems with equal depth multiple-well potentials},
author = {Fabrice Bethuel and Didier Smets and Giandomenico Orlandi},
journal= {arXiv preprint arXiv:0909.5315},
year = {2009}
}