| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2024-0008 |
| Global smooth solution for phase transition equations in ferromagnetism |
| Fangfang Li |
| Keywords:Phase transition equations, Galerkin method, Weak solution, Global smooth solution |
| Abstract: |
| This paper presents a phase transition model that characterizes the thermodynamic and electromagnetic properties of ferromagnetic materials. We establish the existence of both a global weak solution and a global smooth solution for the phase transition equations in two and three dimensions. Moreover, we obtain the uniqueness of the global smooth solution. |
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