JournalsifbVol. 7 , No. 1DOI 10.4171/ifb/115

Critical size of crystals in the plane

  • Przemyslaw Gorka

    Technical University, Warszawa, Poland
Critical size of crystals in the plane cover

Abstract

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 WW is a regular polygon with NN 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)V(t) for small tt assuming that V(0)=0V(0)=0, where VV is a velocity of the interfacial curve.