Study of Maxwell-Landau-Lifschitz model. Existence and uniqueness of strong solutions in two-dimensional case

Houssem Haddar

doi:10.1016/S0764-4442(01)01854-7

Study of Maxwell-Landau-Lifschitz model. Existence and uniqueness of strong solutions in two-dimensional case

Translated title of the contribution: Étude du problème couplé Maxwell-Landau-Lifschitz. Existence et unicité de solutions fortes en dimension deux

Houssem Haddar

University of Delaware

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

Abstract

We complete the study of the Cauchy problem formed by Maxwell's equations coupled with the Landau-Lifschitz law for ferromagnetic materials, by an existence and uniqueness result of strong solutions in two-dimensional case. We consider a simplified version of the Landau-Lifschitz law by neglecting the exchange terms. However, we treat the inhomogeneous case.

Translated title of the contribution	Étude du problème couplé Maxwell-Landau-Lifschitz. Existence et unicité de solutions fortes en dimension deux
Original language	French
Pages (from-to)	411-416
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	5
DOIs	https://doi.org/10.1016/S0764-4442(01)01854-7
Publication status	Published - 1 Mar 2001

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title = "Study of Maxwell-Landau-Lifschitz model. Existence and uniqueness of strong solutions in two-dimensional case",

abstract = "We complete the study of the Cauchy problem formed by Maxwell's equations coupled with the Landau-Lifschitz law for ferromagnetic materials, by an existence and uniqueness result of strong solutions in two-dimensional case. We consider a simplified version of the Landau-Lifschitz law by neglecting the exchange terms. However, we treat the inhomogeneous case.",

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year = "2001",

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AB - We complete the study of the Cauchy problem formed by Maxwell's equations coupled with the Landau-Lifschitz law for ferromagnetic materials, by an existence and uniqueness result of strong solutions in two-dimensional case. We consider a simplified version of the Landau-Lifschitz law by neglecting the exchange terms. However, we treat the inhomogeneous case.

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DO - 10.1016/S0764-4442(01)01854-7

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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 - 5

ER -

Study of Maxwell-Landau-Lifschitz model. Existence and uniqueness of strong solutions in two-dimensional case

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