Global weak solutions to a phase-field model for motion of grain boundaries

被引：0
作者：
Zixian Zhu
Boling Guo
Shaomei Fang
机构：
[1] Shanghai University,Department of Mathematics
[2] Institute of Applied Physics and Computational Mathematics,College of Mathematics and Information
[3] South China Agricultural University,undefined
来源：
Applied Mathematics and Mechanics | 2022年 / 43卷
关键词：
solid-solid phase transition; phase-field model; Galerkin method; weak solutions; O175.29; 35K65; 82B26;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We employ the Galerkin method to prove the global existence of weak solutions to a phase-field model which is suitable to describe a sort of interface motion driven by configurational forces. The higher-order derivative of unknown S exists in the sense of local weak derivatives since it may be not summable over the original open domain. The existence proof is valid in the one-dimensional case.
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页码：1777 / 1792
页数：15
相关论文
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