# American Institute of Mathematical Sciences

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

 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.
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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