A New Model for Supercooling and Superheating Effects
A. VlSINTIN · IMA Journal of Applied Mathematics · 1986
A generalization of the Stefan problem is proposed for phase transitions in one-dimensional systems, taking account of nonequilibrium supercooling and superheating effects. Both the movement of a sharp interface and the formation of a mushy region are accounted for. The existence of at least one solution is proved and some complementary results are given. The standard one-phase Stefan problem is obtained as a limit case