铁磁薄膜中静态奈尔壁的非线性稳定性

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-11-20 DOI:10.1007/s00205-024-02074-9

Antonio Capella, Christof Melcher, Lauro Morales, Ramón G. Plaza

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引用次数: 0

摘要

本文根据 Capella 等人提出的面内磁化还原波型动力学（《非线性》20:2519-2537, 2007 年），确定了铁磁薄膜中静态 180 度内尔墙的非线性（轨道）稳定性。这一结果源于对内尔墙相位周围线性化算子的谱分析，该算子具有挑战性的非局部算子特征。作为证明的一部分，我们证明了非局部线性化算子是一个合适的非局部线性算子在无限远处的紧凑扰动，这一结果本身就很有趣。

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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Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films

The paper establishes the nonlinear (orbital) stability of static 180-degree Néel walls in ferromagnetic films under the reduced wave-type dynamics for the in-plane magnetization proposed by Capella et al. (Nonlinearity 20:2519–2537, 2007). The result follows from the spectral analysis of the linearized operator around the Néel wall’s phase, which features a challenging non-local operator. As part of the proof, we show that the non-local linearized operator is a compact perturbation of a suitable non-local linear operator at infinity, a result that is interesting in itself.

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.