High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime*

Yong, LU. Denis Poisson, Fédération, and Trélat, E., eds. " High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime*." ESAIM: Proceedings 35 (2012): 251-256. <http://eudml.org/doc/251235>.

@article{Yong2012,
abstract = {We study the Maxwell-Landau-Lifshitz system for highly oscillating initial data, with characteristic frequencies O(1 / ε) and amplitude O(1), over long time intervals O(1 / ε), in the limit ε → 0. We show that a nonlinear Schrödinger equation gives a good approximation for the envelope of the solution in the time interval under consideration. This extends previous results of Colin and Lannes [1]. This text is a short version of the article [5].},
author = {Yong, LU},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {251-256},
publisher = {EDP Sciences},
title = { High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime*},
url = {http://eudml.org/doc/251235},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Yong, LU
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime*
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 251
EP - 256
AB - We study the Maxwell-Landau-Lifshitz system for highly oscillating initial data, with characteristic frequencies O(1 / ε) and amplitude O(1), over long time intervals O(1 / ε), in the limit ε → 0. We show that a nonlinear Schrödinger equation gives a good approximation for the envelope of the solution in the time interval under consideration. This extends previous results of Colin and Lannes [1]. This text is a short version of the article [5].
LA - eng
UR - http://eudml.org/doc/251235
ER -