Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Journal of Differential Equations |
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| Verlag: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
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| Ort der Veröffentlichung: | SAN DIEGO |
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| Band: | 250 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 5 |
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| Seitenbereich: | S. 2462-2484 |
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| Datum: | 2011 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1016/j.jde.2010.11.019 | DOI |
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| Stichwörter / Keywords: | REGULARITY; Micromagnetism; Landau-Lifshitz-Gilbert equation; Time-periodic solutions; Continuation method; Spectral analysis; Sectorial operators |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 65190 |
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Zusammenfassung
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 ...
Zusammenfassung
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.
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