Relaxation approximation of some nonlinear Maxwell initial-boundary value problem
Idioma
en
Article de revue
Este ítem está publicado en
Communications in Mathematical Sciences. 2006, vol. 4, n° 2, p. 331-344
International Press
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Initial boundary value problem
Kerr model
nonlinear Maxwell equation
Kerr-Debye model
relaxation
nonlinear Maxwell equation.
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