Relaxation approximation of some nonlinear Maxwell initial-boundary value problem
Langue
en
Article de revue
Ce document a été publié dans
Communications in Mathematical Sciences. 2006, vol. 4, n° 2, p. 331-344
International Press
Résumé en anglais
Two nonlinear Maxwell systems are considered: Kerr model exhibiting an instantaneous response of the medium, Kerr-Debye model which contains some delay term and is a relaxation approximation of the first one. In one space ...Lire la suite >
Two nonlinear Maxwell systems are considered: Kerr model exhibiting an instantaneous response of the medium, Kerr-Debye model which contains some delay term and is a relaxation approximation of the first one. In one space dimension, we prove that the limit of the solution to the ingoing wave condition for Kerr-Debye model is a solution to the Kerr model.< Réduire
Mots clés en anglais
Initial boundary value problem
Kerr model
nonlinear Maxwell equation
Kerr-Debye model
relaxation
nonlinear Maxwell equation.
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