| Issue |
ESAIM: Proc.
Volume 35, March 2012
Congrès National de Mathématiques Appliquées et Industrielles
|
|
|---|---|---|
| Page(s) | 251 - 256 | |
| DOI | https://doi.org/10.1051/proc/201235023 | |
| Published online | 06 April 2012 | |
High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime*
Institut de Mathématiques de Jussieu, Université Paris
Diderot, France
luyong@math.jussieu.fr
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].
© EDP Sciences, SMAI 2012
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