Slow Motion and Metastability for a Non Local Evolution Equation

摘要

In this paper we continue the analysis of a non local mean field equation,proving the existence of an invariant, unstable, one dimensional manifold connecting the critical droplet with the stable and metastable phases. We prove that the points on the manifold are droplets longer or shorter than the critical one, and that their motion is very slow in agreement with the theory of metastable patterns.