Electromagnetic waves propagation in 1D ferromagnetic medium: An existence and uniqueness result

Patrick Joly; Olivier Vacus

doi:10.1016/S0764-4442(97)80099-7

Electromagnetic waves propagation in 1D ferromagnetic medium: An existence and uniqueness result

Titre traduit de la contribution: Propagation d'ondes en milieu ferromagnétique 1D: Existence et unicité des solutions

Patrick Joly
, Olivier Vacus

INRIA Institut National de Recherche en Informatique et en Automatique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

Titre traduit de la contribution	Propagation d'ondes en milieu ferromagnétique 1D: Existence et unicité des solutions
langue originale	Anglais
Pages (de - à)	29-35
Nombre de pages	7
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	324
Numéro de publication	1
Les DOIs	https://doi.org/10.1016/S0764-4442(97)80099-7
état	Publié - 1 janv. 1997

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10.1016/S0764-4442(97)80099-7

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abstract = "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.",

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AB - 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.

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Electromagnetic waves propagation in 1D ferromagnetic medium: An existence and uniqueness result

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