Geodesic
High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime
LU Yong1
1 Institut de Mathématiques de Jussieu, Université Paris Diderot, France
ESAIM. Proceedings, Tome 35 (2012), pp. 251-256 Cet article a éte moissonné depuis la source EDP Sciences

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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].
DOI : 10.1051/proc/201235023

LU Yong 1

1 Institut de Mathématiques de Jussieu, Université Paris Diderot, France 
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     author = {LU Yong},
     title = {High-frequency limit of the {Maxwell-Landau-Lifshitz} equations in the diffractive optics regime},
     journal = {ESAIM. Proceedings},
     pages = {251--256},
     year = {2012},
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     doi = {10.1051/proc/201235023},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201235023/}
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LU Yong. High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime. ESAIM. Proceedings, Tome 35 (2012), pp. 251-256. doi: 10.1051/proc/201235023

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