Numerical and analytical calculation of powerlike spectra parameters for deep water gravity waves

V. V. Geogjaev; Vladimir E Zakharov

doi:10.1134/S0021364017150012

Numerical and analytical calculation of powerlike spectra parameters for deep water gravity waves

V. V. Geogjaev, Vladimir E Zakharov

Mathematics

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5 Scopus citations

Abstract

We determine asymptotic behavior of the coupling coefficient for four-wave interactions of deep water gravity waves in the limiting case when two wave vectors of interacting waves are small with respect to the other two (“long-short interactions”). It makes possible to find numerically dimensionless Kolmogorov constants for the powerlike Kolmogorov–Zakharov spectra. The results obtained are crusially important for comparison of the weak turbulent theory with the experiments and the natural observations.

Original language	English (US)
Pages (from-to)	1-4
Number of pages	4
Journal	JETP Letters
DOIs	https://doi.org/10.1134/S0021364017150012
State	Accepted/In press - Jul 28 2017

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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abstract = "We determine asymptotic behavior of the coupling coefficient for four-wave interactions of deep water gravity waves in the limiting case when two wave vectors of interacting waves are small with respect to the other two (“long-short interactions”). It makes possible to find numerically dimensionless Kolmogorov constants for the powerlike Kolmogorov–Zakharov spectra. The results obtained are crusially important for comparison of the weak turbulent theory with the experiments and the natural observations.",

author = "Geogjaev, {V. V.} and Zakharov, {Vladimir E}",

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AU - Geogjaev, V. V.

AU - Zakharov, Vladimir E

PY - 2017/7/28

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N2 - We determine asymptotic behavior of the coupling coefficient for four-wave interactions of deep water gravity waves in the limiting case when two wave vectors of interacting waves are small with respect to the other two (“long-short interactions”). It makes possible to find numerically dimensionless Kolmogorov constants for the powerlike Kolmogorov–Zakharov spectra. The results obtained are crusially important for comparison of the weak turbulent theory with the experiments and the natural observations.

AB - We determine asymptotic behavior of the coupling coefficient for four-wave interactions of deep water gravity waves in the limiting case when two wave vectors of interacting waves are small with respect to the other two (“long-short interactions”). It makes possible to find numerically dimensionless Kolmogorov constants for the powerlike Kolmogorov–Zakharov spectra. The results obtained are crusially important for comparison of the weak turbulent theory with the experiments and the natural observations.

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JF - JETP Letters

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Numerical and analytical calculation of powerlike spectra parameters for deep water gravity waves

Abstract

ASJC Scopus subject areas

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