On the Stefan Problem with Surface Tension
نویسنده
چکیده
1. Introduction The classical Stefan problem is a model for phase transitions in solid-liquid systems and accounts for heat diiusion and exchange of latent heat in a homogeneous medium. The strong formulation of this model corresponds to a moving boundary problem involving a parabolic diiusion equation for each phase and a transmission condition prescribed at the interface separating the phases. Molecular considerations attempting to explain supercooling and dendritic growth of crystals suggest to also include surface tension on the interface separating the solid from the liquid region. In order to formulate the Stefan problem we introduce the following notations. Let be a smooth bounded domain in R
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