Global weak solutions to a phase-field model for motion of grain boundaries.
- Resource Type
- Article
- Authors
- Zhu, Zixian; Guo, Boling; Fang, Shaomei
- Source
- Applied Mathematics & Mechanics. Nov2022, Vol. 43 Issue 11, p1777-1792. 16p.
- Subject
- *CRYSTAL grain boundaries
*GALERKIN methods
*GRAIN
*PHASE transitions
- Language
- ISSN
- 0253-4827
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. [ABSTRACT FROM AUTHOR]