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Landau-Lifschitz-Gilbert equation with applied eletric current

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  • In this paper, we are concerned with a model of electric current effect in ferromagnetic materials, that is Landau-Lifschitz equation adding a transport term. We prove classical existence theorem in the general three dimensional case, and we justify a one dimensional approximation for wich we have the explicit behavior of the magnetisation.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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