Long time convergence for a class of variational phase field models
Analysis of PDEs
2008-01-18 v1
Abstract
In this paper we analyze a class of phase field models for the dynamics of phase transitions which extend the well-known Caginalp and Penrose-Fife models. Existence and uniqueness of the solution to the related initial boundary value problem are shown. Further regularity of the solution is deduced by exploiting the so-called regularizing effect. Then, the large time behavior of such a solution is studied and several convergence properties of the trajectory as time tends to infinity are discussed.
Keywords
Cite
@article{arxiv.0801.2658,
title = {Long time convergence for a class of variational phase field models},
author = {Pierluigi Colli and Danielle Hilhorst and Francoise Issard-Roch and Giulio Schimperna},
journal= {arXiv preprint arXiv:0801.2658},
year = {2008}
}