In this paper, the Landau–Lifshitz–Baryakhtar (LLBar) equation for magnetization dynamics in ferrimagnets is considered. We prove global existence of a periodic solutions as well as local existence and uniqueness of regular solutions. We also study the relationships between the Landau–Lifshitz–Baryakhtar equation and both Landau–Lifshitz–Bloch and harmonic map equations.

中文翻译：

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Landau-Lifshitz-Baryakhtar 方程的存在性结果

在本文中，考虑了亚铁磁体磁化动力学的 Landau-Lifshitz-Baryakhtar (LLBar) 方程。我们证明了周期解的全局存在性以及正则解的局部存在性和唯一性。我们还研究了 Landau-Lifshitz-Baryakhtar 方程与 Landau-Lifshitz-Bloch 和调和映射方程之间的关系。