Relaxation approximation of the Kerr model for the impedance initial-boundary value problem

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2007, 2007(Special): 212-220. doi: 10.3934/proc.2007.2007.212

Relaxation approximation of the Kerr model for the impedance initial-boundary value problem

Gilles Carbou ^1, and Bernard Hanouzet ^2,

1.	MAB, UMR 5466, CNRS, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex
2.	Mathématiques Appliquées de Bordeaux, UMR 5466, CNRS, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex, France

Received September 2006 Revised January 2007 Published September 2007

Abstract
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The Kerr-Debye model is a relaxation of the nonlinear Kerr model in which the relaxation coefficient is a finite response time of the nonlinear material. We establish the convergence of the Kerr-Debye model to the Kerr model when this relaxation coefficient tends to zero.

Keywords: Nonlinear Maxwell Equation, Relaxation..

Mathematics Subject Classification: 35L50, 35Q6.

Citation: Gilles Carbou, Bernard Hanouzet. Relaxation approximation of the Kerr model for the impedance initial-boundary value problem. Conference Publications, 2007, 2007 (Special) : 212-220. doi: 10.3934/proc.2007.2007.212

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