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

被引:3
作者
XIE, WQ
机构
[1] Mathematical Institute, Oxford, OX1 3LB
[2] Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania
关键词
D O I
10.1002/mma.1670150306
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:205 / 221
页数:17
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