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

Patrick Joly, Olivier Vacus

INRIA Institut National de Recherche en Informatique et en Automatique

Research output: Contribution to journal › Article › peer-review

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.

Translated title of the contribution	Propagation d'ondes en milieu ferromagnétique 1D: Existence et unicité des solutions
Original language	English
Pages (from-to)	29-35
Number of pages	7
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	324
Issue number	1
DOIs	https://doi.org/10.1016/S0764-4442(97)80099-7
Publication status	Published - 1 Jan 1997

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title = "Electromagnetic waves propagation in 1D ferromagnetic medium: An existence and uniqueness result",

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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DO - 10.1016/S0764-4442(97)80099-7

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 1

ER -

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

Abstract

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