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

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Article number	021501
Journal	Journal of Mathematical Physics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1063/1.4905941
Publication status	Published - 2 Feb 2015
Externally published	Yes

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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

Abstract

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