Crystal Growth Analysis in Two-dimensional Instable State Problem and Laplace Inverse Transformation Method

SUN Renji; SHI Yingying; CHEN Mingwen; WANG Zidong

doi:10.13374/j.issn1001-053x.2004.03.021

Volume 26 Issue 3

Aug. 2021

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Engineering > 2004 > 26(3): 307-310

SUN Renji, SHI Yingying, CHEN Mingwen, WANG Zidong. Crystal Growth Analysis in Two-dimensional Instable State Problem and Laplace Inverse Transformation Method[J]. Chinese Journal of Engineering, 2004, 26(3): 307-310. doi: 10.13374/j.issn1001-053x.2004.03.021

Citation:

SUN Renji, SHI Yingying, CHEN Mingwen, WANG Zidong. Crystal Growth Analysis in Two-dimensional Instable State Problem and Laplace Inverse Transformation Method[J]. Chinese Journal of Engineering, 2004, 26(3): 307-310. doi: 10.13374/j.issn1001-053x.2004.03.021

Citation:

PDF( 445 KB)

Crystal Growth Analysis in Two-dimensional Instable State Problem and Laplace Inverse Transformation Method

doi: 10.13374/j.issn1001-053x.2004.03.021

1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, China;
2. Materials Science and Engineering School, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2003-07-31
Available Online: 2021-08-16

Abstract

Abstract

By using Laplace inverse transformation method, a two-dimensional time-dependent partial differential equation for crystal growth is analyzed and the solution is obtained. The uniqueness of the solution is proved. An example is presented.
- metal solidification,
- crystal growth,
- partial differential equation,
- Laplace inverse transformation