University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 10 2 1999 06 01 THE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARY - 31493 EN Journal Article This paper considers a class of one-dimensional solidification problem in which kinetic undercooling is incorporated into the temperature condition at the interface. A model problem with nonlinear kinetic law is considered. The main result is an existence theorem. The mathematical effects of the kinetic term are discussed https://jsciences.ut.ac.ir/article_31493_1f79c37c38ef31e2174277b34e5aa64b.pdf