一类流场作用下晶体生长模型解的适定性  

Well-posed Properties of the Solution of Crystal Growth Under a Class of Flow Field

作　　者：汪轶[1] 

机构地区：[1]皖西学院应用数学学院,安徽六安237012

出　　处：《皖西学院学报》2010年第5期67-68,共2页Journal of West Anhui University

基　　金：皖西学院自然科学青年研究项目(WXZQ0602)

摘　　要：晶体在形核时,熔体内存在的温度和浓度起伏有助于扩大"近程有序"结构的范围,进而促进形核。研究熔体中有对流作用时三维非稳态晶体生长的温度起伏和浓度起伏数学模型,有助于从本质上认识这一自然现象。证明了稳定流场的作用下晶体生长数学模型解的适定性。The fluctuated temperature motivates the dynamical process while crystal is growing. The periodic analytic solution of a three-dimensional steady state problem has shown that the cellular and dendritic crystal growth under the effect of convection presents an oscillatory pattern. Study of the properties of the solution can help reveal this physical phenomena. A theoretical proof for the well-posed properties of the Fourier Series Solution ie given.

关 键 词：金属凝固 晶体生长 偏微分方程 

分 类 号：TG111.4[金属学及工艺—物理冶金]