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arXiv · 0909.5315

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

Fabrice Bethuel·Didier Smets·Giandomenico Orlandi
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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.

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Fabrice Bethuel, Didier Smets, Giandomenico Orlandi. 2009-10-09. Slow motion for gradient systems with equal depth multiple-well potentials. https://arxiv.org/abs/0909.5315

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