Morphological instability of the similarity solutions to the Stefan problem with undercooling and surface tension Academic Article uri icon

abstract

  • In our paper we address the morphological stability of a similarity solution to the Stefan problem with surface tension and initial supercooling. The study of shape instabilities in solidification with supercooling is important, in particular, because these instabilities initiate the appearance of dendrites. Following the excellent review by Langer Instabilities and pattern formation in crystal growth, let us recall two well-known examples of morphological instabilities. The first concerns the quasi-steady-state growth of a spherical germ into a …

publication date

  • November 25, 1996

published in