Periodic solutions for the Landau-Lifshitz-Gilbert equation - Mathematics > Analysis of PDEsReportar como inadecuado




Periodic solutions for the Landau-Lifshitz-Gilbert equation - Mathematics > Analysis of PDEs - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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.



Autor: Alexander Huber

Fuente: https://arxiv.org/







Documentos relacionados