Huber, Alexander (2011) Periodic solutions for the Landau-Lifshitz-Gilbert equation. JOURNAL OF DIFFERENTIAL EQUATIONS, 250 (5). pp. 2462-2484. ISSN 0022-0396,
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | REGULARITY; Micromagnetism; Landau-Lifshitz-Gilbert equation; Time-periodic solutions; Continuation method; Spectral analysis; Sectorial operators |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Jun 2020 07:19 |
| Last Modified: | 25 Jun 2020 07:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/21223 |
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