Document Zbl 1119.35033

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Carbou, Gilles; Hanouzet, Bernard

Relaxation approximation of some nonlinear Maxwell initial-boundary value problem. (English) Zbl 1119.35033

Commun. Math. Sci. 4, No. 2, 331-344 (2006).

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.

Cited in 7 Documents

MSC:

35L50	Initial-boundary value problems for first-order hyperbolic systems
35Q60	PDEs in connection with optics and electromagnetic theory

Keywords:

Kerr-Debye model; one space dimension; Kerr model

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