Relaxation approximation of some nonlinear Maxwell initial-boundary value problem
Carbou, Gilles ; Hanouzet, Bernard
Commun. Math. Sci., Tome 4 (2006) no. 1, p. 331-344 / Harvested from Project Euclid
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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.
Publié le : 2006-06-14
Classification:  78A60,  35L50,  35L60,  35Q60,  78Mxx 
@article{1154635527,
     author = {Carbou, Gilles and Hanouzet, Bernard},
     title = {Relaxation approximation of some nonlinear Maxwell initial-boundary value problem},
     journal = {Commun. Math. Sci.},
     volume = {4},
     number = {1},
     year = {2006},
     pages = { 331-344},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1154635527}
}

Carbou, Gilles; Hanouzet, Bernard. Relaxation approximation of some nonlinear Maxwell initial-boundary value problem. Commun. Math. Sci., Tome 4 (2006) no. 1, pp.  331-344. http://gdmltest.u-ga.fr/item/1154635527/