PHASE-TRANSITION IN BINARY-SYSTEMS AND THE BINARY ALLOY PROBLEM

In this paper we consider a phase transition in binary systems describing the solidification of a dilute alloy in one space dimension, in which the equations of heat and mass transfer are coupled through the conditions at the free boundary. A kinetic condition is introduced to suggest a regularization of the model, which admits a unique solution, and to obtain the generalized solution of the dilute-alloy problem under an additional assumption.