On the use of normal forms in the propagation of random waves

Anne Sophie de Suzzoni

doi:10.1063/1.4905941

On the use of normal forms in the propagation of random waves

Anne Sophie de Suzzoni

University Paris 13

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We consider the evolution of the correlations between the Fourier coefficients of a solution of the Kadomtsev-Petviashvili II equation when these coefficients are initially independent random variables. We use the structure of normal forms of the equation to prove that those correlations remain small until times of order ?^5/3 or ?² depending on the quantity considered.

langue originale	Anglais
Numéro d'article	021501
journal	Journal of Mathematical Physics
Volume	56
Numéro de publication	2
Les DOIs	https://doi.org/10.1063/1.4905941
état	Publié - 2 févr. 2015
Modification externe	Oui

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10.1063/1.4905941

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abstract = "We consider the evolution of the correlations between the Fourier coefficients of a solution of the Kadomtsev-Petviashvili II equation when these coefficients are initially independent random variables. We use the structure of normal forms of the equation to prove that those correlations remain small until times of order ?5/3 or ?2 depending on the quantity considered.",

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AB - We consider the evolution of the correlations between the Fourier coefficients of a solution of the Kadomtsev-Petviashvili II equation when these coefficients are initially independent random variables. We use the structure of normal forms of the equation to prove that those correlations remain small until times of order ?5/3 or ?2 depending on the quantity considered.

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On the use of normal forms in the propagation of random waves

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