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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

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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