Magnetization switching on small ferromagnetic ellipsoidal samples
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 3, pp. 676-711

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The study of small magnetic particles has become a very important topic, in particular for the development of technological devices such as those used for magnetic recording. In this field, switching the magnetization inside the magnetic sample is of particular relevance. We here investigate mathematically this problem by considering the full partial differential model of Landau-Lifschitz equations triggered by a uniform (in space) external magnetic field.

DOI : 10.1051/cocv:2008047
Classification : 49J15, 35A05, 35A07, 35D05, 35K20, 35K55, 35Q60
Keywords: Landau-Lifschitz equation, micromagnetics, stabilization
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     title = {Magnetization switching on small ferromagnetic ellipsoidal samples},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {676--711},
     publisher = {EDP-Sciences},
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     doi = {10.1051/cocv:2008047},
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     zbl = {1167.49003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008047/}
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Alouges, François; Beauchard, Karine. Magnetization switching on small ferromagnetic ellipsoidal samples. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 3, pp. 676-711. doi: 10.1051/cocv:2008047

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