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- W4244613075 abstract "Afin de modéliser le comportement électromagnétique des matériaux ferromagnétiques, nous définissons le problème de Cauchy (1.5) couplant les équations de Maxwell et une équation différentielle vectorielle non linéaire, la loi de Landau-Lifschitz-Gilbert. Par le biais de la théorie des équations semi-linéaires, nous montrons dans le cas monodimensionnel l'existence et l'unicité de solutions faibles globales à ce problème. In order to model the electromagnetic behaviour of ferromagnetic materials, we consider Maxwell's equations together with a non-linear vectorial differential equation called Landau—Lifschitz—Gilbert's law. Using the theory of semi-linear equations, we show that the associated Cauchy problem admits a unique global weak solution in the monodimensional case." @default.
- W4244613075 created "2022-05-12" @default.
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- W4244613075 date "1997-01-01" @default.
- W4244613075 modified "2023-09-24" @default.
- W4244613075 title "Propagation d'ondes en milieu ferromagnétique 1D : existence et unicité des solutions" @default.
- W4244613075 doi "https://doi.org/10.1016/s0764-4442(97)80008-0" @default.
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