Global solution and long-time behavior for a problem of phase segregation of the Allen-Cahn type
Analysis of PDEs
2009-03-02 v1
Abstract
In this paper we study a model for phase segregation consisting in a sistem of a partial and an ordinary differential equation. By a careful definition of maximal solution to the latter equation, this system reduces to an Allen-Cahn equation with a memory term. Global existence and uniqueness of a smooth solution are proven and a characterization of the omega-limit set is given.
Keywords
Cite
@article{arxiv.0902.4741,
title = {Global solution and long-time behavior for a problem of phase segregation of the Allen-Cahn type},
author = {Pierluigi Colli and Gianni Gilardi and Paolo Podio-Guidugli and Juergen Sprekels},
journal= {arXiv preprint arXiv:0902.4741},
year = {2009}
}