%0 Journal Article %T THE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARY %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %D 1999 %\ 06/01/1999 %V 10 %N 2 %P - %! THE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARY %R %X 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 %U https://jsciences.ut.ac.ir/article_31493_28ff0070e5ca590e7b279f1b5eff4f94.pdf