Istituto di Matematica Applicata e Tecnologie Informatiche     
Colli P., Fremond M., Klein O. Global existence of a solution to a phase field model for supercooling. Preprint ercim.cnr.ian//1999-1155, 1999.
In this work, we will derive a macroscopic model of phase field type for supercooling. The phase transition process is described by the evolution of the temperature and the volume fraction of the liquid phase. This phase field model can also be interpreted as the approximation of some generalized Stefan problem. We will prove the existence of solutions to an initial--boundary value problem for the resulting system by using a time discrete scheme.
Subject Phase field system, Supercooling, Stefan problem, Global existence result.
80A22, 35K60, 35R35, 47H15

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