Slow motion for gradient systems with equal depth multiple-well potentials

Details Slow motion for gradient systems with equal depth multiple-well potentials Slow motion for gradient systems with equal depth multiple-well potentials

2009-09-29

arxiv.org/abs/0909.5315v2

Mathematics

Analysis of PDEs

Scientific paper

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.

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