We study a modified Stefan problem (and its quasi-steady approximation) of crystalline motion in the plane. We are interested in behaviour of solution for a symmetric problem, in particular we assume that Wulff shape is a regular polygon with sides. We describe two situations. In the first situation we show that ice will be melting. In the second one we examine properties of for small assuming that , where is a velocity of the interfacial curve.
Cite this article
Przemyslaw Gorka, Critical size of crystals in the plane. Interfaces Free Bound. 7 (2005), no. 1, pp. 99–105DOI 10.4171/IFB/115