Periodic solutions for the Landau-Lifshitz-Gilbert equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:250

Article

Huber, Alexander

关键词: Micromagnetism;    Landau-Lifshitz-Gilbert equation;    Time-periodic solutions;    Continuation method;    Spectral analysis;    Sectorial operators;   

DOI  :  10.1016/j.jde.2010.11.019

来源: Elsevier

【 摘 要 】

Ferromagnetic materials tend to develop very complex magnetization patterns whose time evolution is modeled by the so-called Landau-Lifshitz-Gilbert equation (LLG). In this paper, we construct time-periodic solutions for LLG in the regime of soft and small ferromagnetic particles which satisfy a certain shape condition. Roughly speaking, it is assumed that the length of the particle is greater than its hight and its width. The approach is based on a perturbation argument and the spectral analysis of the corresponding linearized problem as well as the theory of sectorial operators. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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