Metastable Patternes for Multi-phase Field Models

Abstract

El principal objetivo de este trabajo es mostrar resultados sobre la existencia de soluciones metastables (soluciones que sin ser puntos de equilibrio ni minimos de energia permanecen durante grandes intervalos de tiempos) en modelos de campos de fase con más de dos componentes e incluso con difusión no lineal.

The main objective of this work is to show the slow decay from metastable states of different phase-field models which stand for the dynamic phase transition between many different states (thus allowing the study mixtures of two or more components). By this way, we get a generalization of the existence of this kind of metastable solutions given by other previous works even when we consider the nonlinear diffusion.