共晶生长的全局性理论一直是材料科学与工程中长期研究的前沿课题。它们的解决对工业生产中许多重要材料的加工、制备工艺的改进及终端产品质量的提高具有重大而深远的意义。本项目旨在用解析的方法对共晶生长动力学过程以及界面稳定性进行深入细致的研究。将以共晶生长的典型实验系统作为研究对象, 建立数学模型和寻求其一致有效的解析解。研究的核心问题是：在给定生长条件和材料属性条件,并考虑表面张力的条件下,确定共晶的稳态解，以及基态解的稳定性判据；探究流场对共晶生长的影响机制。

Global theory of the eutectic growth remains one of attractive research problems in material science and engineering.It has very important significance for processing materials, improving the preparation method and product quality.This project arms at studying the kinetics of eutectic growth and the interfacial instability by using analytical methods.Based on some typical experiments of the eutectic growth, the mathematical model will be given and the uniformly valid analytical solution will be obtained.One of the most important problems is determining the stable eutectic solution under consideration of the material properties, fixed experimental growth conditions and surface tension; another one is exploring the effects of convection on the eutectic growth.