Global Stability of the Neumann Solution of the Two-phase Stefan Problem
Lev Rubinstein · IMA Journal of Applied Mathematics · 1982
The global stability of the Neumann solution of the two-phase Stefan problem is proved in the framework of the linear theory of perturbations. As a corollary of this result the spatial stability of the free boundary in a one-dimensional two-phase Cauchy-Stefan problem is proved, assuming that the initial temperature has finite limits at infinity, and that its initial perturbation is located in a strip of a finite width.