Existence results for the Landau–Lifshitz–Baryakhtar equation

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-11-10 DOI:10.3233/asy-231874

C. Ayouch, D. Meskine, M. Tilioua

引用次数: 0

Abstract

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.

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Landau-Lifshitz-Baryakhtar方程的存在性结果

本文考虑了铁磁体磁化动力学的Landau-Lifshitz-Baryakhtar (LLBar)方程。证明了一类周期解的整体存在性和正则解的局部存在唯一性。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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.