A phase-field model of grain boundary motion

被引：0
作者：
Akio Ito
Nobuyuki Kenmochi
Noriaki Yamazaki
机构：
[1] Kinki University,Department of Electronic Engineering and Computer Science, School of Engineering
[2] Chiba University,Department of Mathematics, Faculty of Education
[3] Muroran Institute of Technology,Department of Mathematical Science, Common Subject Division
来源：
Applications of Mathematics | 2008年 / 53卷
关键词：
grain boundary motion; singular diffusion; subdifferential;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a phase-field model of grain structure evolution, which appears in materials sciences. In this paper we study the grain boundary motion model of Kobayashi-Warren-Carter type, which contains a singular diffusivity. The main objective of this paper is to show the existence of solutions in a generalized sense. Moreover, we show the uniqueness of solutions for the model in one-dimensional space.
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