1. Solutions to Three-Phase-Field Model for Solidification
- Author
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Yangxin Tang and Wei Gao
- Subjects
alloys ,nonlinear parabolic equation ,existence of solutions ,evolution of phase boundaries ,maximum theorem ,Mathematics ,QA1-939 - Abstract
Our research on applied mathematics is in line with the research scope of the journal. The phase-field model is applied to simulate the material and other areas. A phase-field model describing the non-isothermal solidification of an ideal multi-component alloy system is proposed in this paper. The time and space variation of a three-phase-field function and the governing equations of the temperature field are established. The global existence of weak solutions for three-dimensional parabolic differential equations is proved by the Faedo–Galerkin method. The existence of a maximum theorem is also extensively studied.
- Published
- 2022
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