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Abstract: Ferromagnetic materials tend to develop very complex magnetization patternswhose time evolution is modeled by the so-called Landau-Lifshitz-Gilbertequation LLG. In this paper, we construct time-periodic solutions for LLG inthe regime of soft and small ferromagnetic particles which satisfy a certainshape condition. Roughly speaking, it is assumed that the length of theparticle is greater than its hight and its width. The approach is based on aperturbation argument and the spectral analysis of the corresponding linearizedproblem as well as the theory of sectorial operators.



Author: Alexander Huber

Source: https://arxiv.org/







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