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

ESAIM: Proceedings (2012)

- Volume: 35, page 251-256
- ISSN: 1270-900X

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topYong, 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 -

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