Existence and Asymptotic Analysis of a Phase Field Model for Supercooling

Abstract

We prove an existence result for an initial-boundary value problem which models a perturbation of a phase transition phenomenon with supercooling effects. When the perturbation parameter goes to 0, an asymptotic analysis is performed. It leads to an existence result, in the framework of Young measures, for a slight modification of the original problem.

Cite this paper

@inproceedings{Klein2005ExistenceAA, title={Existence and Asymptotic Analysis of a Phase Field Model for Supercooling}, author={Olaf Klein and FABIO LUTEROTTI and Riccarda Rossi}, year={2005} }