| 二维非稳态晶体生长的理论分析与拉普拉斯逆变换法 |
| |
| 引用本文： | 孙仁济,史英英,陈明文,王自东. 二维非稳态晶体生长的理论分析与拉普拉斯逆变换法[J]. 北京科技大学学报, 2004, 26(3): 307-310 |
| |
| 作者姓名： | 孙仁济 史英英 陈明文 王自东 |
| |
| 作者单位： | 1. 北京科技大学应用科学学院数学力学系,北京,100083
2. 北京科技大学材料科学与工程学院,北京,100083 |
| |
| 基金项目： | 国家重点基础研究发展计划(973计划) |
| |
| 摘 要： | 对定常速度下二维非稳态晶体生长的数学模型进行了分析,证明了解的唯一性,并运用Laplace逆变换法对该定解问题进行求解,最后给出了一个具体的例子.
|
| 关 键 词： | 金属凝固 晶体生长 偏微分方程 Laplace逆变换 非稳态 晶体生长 理论 分析 拉普拉斯 变换法 Method Transformation Inverse Laplace Problem State Instable Analysis Growth 求解 定解问题 运用 数学模型 定常速度 |
| 修稿时间： | 2003-07-31 |
Crystal Growth Analysis in Two-dimensional Instable State Problem and Laplace Inverse Transformation Method |
| |
| SUN Renji,SHI Yingying,CHEN Mingwen,WANG Zidong Applied Science School,University of Science and Technology Beijing,Beijing ,China Materials Science and Engineering School,University of Science and Technology Beijing,Beijing ,China. Crystal Growth Analysis in Two-dimensional Instable State Problem and Laplace Inverse Transformation Method[J]. Journal of University of Science and Technology Beijing, 2004, 26(3): 307-310 |
| |
| Authors: | SUN Renji SHI Yingying CHEN Mingwen WANG Zidong Applied Science School University of Science Technology Beijing Beijing China Materials Science Engineering School University of Science Technology Beijing Beijing China |
| |
| Affiliation: | SUN Renji,SHI Yingying,CHEN Mingwen,WANG Zidong Applied Science School,University of Science and Technology Beijing,Beijing 100083,China Materials Science and Engineering School,University of Science and Technology Beijing,Beijing 100083,China |
| |
| Abstract: | By using Laplace inverse transformation method, a two-dimensional time-dependent partial differ-ential equation for crystal growth is analyzed and the solution is obtained. The uniqueness of the solution is proved.An example is presented. |
| |
| Keywords: | metal solidification crystal growth partial differential equation Laplace inverse transformation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
