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

abstract

  • Abstract: This paper concerns morphological stability of a similarity solution to the Stefan problem with surface tension and initial supercooling. The linear stability analysis shows that for a nonzero surface tension each perturbation mode with a nonzero wave number is stable. However, the solution is unstable with respect to perturbations with a zero wave number limit point in their Fourier spectrum.

publication date

  • January 1, 1998