Maxwell's Equations in a 1D Ferromagnetic Medium : Existence and Uniqueness of Strong Solutions

1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
Abstract : In this paper we are interested in the Maxwell's equations together with the Landau-Lifchitz-Gilbert law in order to model absorbing ferromagnetic materials in 1D. Using a fixed point theorem we establish existence and uniqueness of strong global solutions in suitable spaces, namely $\hrotr$ for the electric and magnetic fields $\eg$ and $\hg$, and $\ldlic$ for the magnetization $\mg$.
Keywords :
Document type :
Reports
Domain :

Cited literature [1 references]

https://hal.inria.fr/inria-00073640
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 1:23:52 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:53:05 PM

Identifiers

• HAL Id : inria-00073640, version 1

Citation

Patrick Joly, Olivier Vacus. Maxwell's Equations in a 1D Ferromagnetic Medium : Existence and Uniqueness of Strong Solutions. [Research Report] RR-3052, INRIA. 1996. ⟨inria-00073640⟩

Record views