Geodesic
Critical size of crystals in the plane
Przemyslaw Gorka1
1Technical University, Warszawa, Poland
Interfaces and free boundaries, Tome 7 (2005) no. 1, pp. 99-105

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DOI

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 W is a regular polygon with N sides. We describe two situations. In the first situation we show that ice will be melting. In the second one we examine properties of V(t) for small t assuming that V(0)=0, where V is a velocity of the interfacial curve.
DOI : 10.4171/ifb/115
Classification : 35-XX, 92-XX, 00-XX
Mots-clés : Stefan problem, free boundary, Gibbs-Thompson law, ice ball melting

Przemyslaw Gorka  1

1 Technical University, Warszawa, Poland 
Przemyslaw Gorka. Critical size of crystals in the plane. Interfaces and free boundaries, Tome 7 (2005) no. 1, pp. 99-105. doi: 10.4171/ifb/115
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