Maxwells Equations in a 1D Ferromagnetic Medium : Existence and Uniqueness of Strong SolutionsReport as inadecuate




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1 ONDES - Modeling, analysis and simulation of wave propagation phenomena Inria Paris-Rocquencourt, Univ. Paris-Saclay, ENSTA ParisTech - École Nationale Supérieure de Techniques Avancées, 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 : FIXED POINT THEOREM A PRIORI ESTIMATES MAXWELL-S ÉQUATIONS LANDAU-LIFCHITZ-GILBERT LAW





Author: Patrick Joly - Olivier Vacus -

Source: https://hal.archives-ouvertes.fr/



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