On some characterizations of the complex number field
W. Więsław (1972)
Colloquium Mathematicae
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W. Więsław (1972)
Colloquium Mathematicae
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Carlos Currás Bosch (1979)
Collectanea Mathematica
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Nizkii, R.Ya. (2005)
Journal of Mathematical Sciences (New York)
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Djordje Musicki (1962)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Giorgio Velo (1977)
Recherche Coopérative sur Programme n°25
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Francesco Nicolò (1986)
Recherche Coopérative sur Programme n°25
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W. Nowacki (1985)
Banach Center Publications
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Ikeda, Satoshi (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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François Alouges, Karine Beauchard (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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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.
Harvey Cohn, George Cooke (1976)
Acta Arithmetica
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Schmitt, Andreas
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Summary: We give an introduction to the Skyrme model from a mathematical point of view. Hereby, we show that it is difficult to solve the field equation even by means of the classical ansatz, the so-called hedgehog ansatz. Our main result is an extended existence proof for solutions of the field equation in the hedgehog ansatz.