Probability of the occurrence of freak waves

V. E. Zakharov; R. V. Shamin

doi:10.1134/S0021364010020025

Probability of the occurrence of freak waves

V. E. Zakharov
, R. V. Shamin

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

23 Scopus citations

Abstract

The statistics of the occurrence of freak waves on a surface of an ideal heavy liquid is studied. The freak (rogue, extreme) waves arise in the course of evolution of a statistically homogeneous random Gaussian wave field. The mean steepness of initial data varies from small (μ² = 1.54 × 10^-3) to moderate (μ² = 3.08 × 10^-3) values. The frequency of the occurrence of extreme waves decreases with an increase in the spectral width of the initial distribution, but remains relatively high even for broad spectra (Δ_k/Δ ~ 1).

Original language	English (US)
Pages (from-to)	62-65
Number of pages	4
Journal	JETP Letters
Volume	91
Issue number	2
DOIs	https://doi.org/10.1134/S0021364010020025
State	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1134/S0021364010020025

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@article{541e31b889f64551973120251b8ac6f9,

title = "Probability of the occurrence of freak waves",

abstract = "The statistics of the occurrence of freak waves on a surface of an ideal heavy liquid is studied. The freak (rogue, extreme) waves arise in the course of evolution of a statistically homogeneous random Gaussian wave field. The mean steepness of initial data varies from small (μ2 = 1.54 {\texttimes} 10-3) to moderate (μ2 = 3.08 {\texttimes} 10-3) values. The frequency of the occurrence of extreme waves decreases with an increase in the spectral width of the initial distribution, but remains relatively high even for broad spectra (Δk/Δ \textasciitilde{} 1).",

author = "Zakharov, \{V. E.\} and Shamin, \{R. V.\}",

note = "Funding Information: We are grateful to the Department of Differential Equations and Mathematical Physics, Peoples Friendship University (Moscow) and its head A.L. Skubachevskii, as well as to O.V. Savenkova and D.A. Neverova, for the given computing capacities. This work was supported by the Council of the Presi dent of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (project no. NSh 7550.2006.2), the Russian Foundation for Basic Research (project no. 09 05 13605 ofi\_ts), and the Presidium of the Russian Academy of Sciences (program {\textquotedblleft}Mathematical Methods in Nonlinear Dynamics{\textquotedblright}).",

year = "2010",

doi = "10.1134/S0021364010020025",

language = "English (US)",

volume = "91",

pages = "62--65",

journal = "JETP Letters",

issn = "0021-3640",

publisher = "Pleiades Publishing",

number = "2",

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TY - JOUR

T1 - Probability of the occurrence of freak waves

AU - Zakharov, V. E.

AU - Shamin, R. V.

N1 - Funding Information: We are grateful to the Department of Differential Equations and Mathematical Physics, Peoples Friendship University (Moscow) and its head A.L. Skubachevskii, as well as to O.V. Savenkova and D.A. Neverova, for the given computing capacities. This work was supported by the Council of the Presi dent of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (project no. NSh 7550.2006.2), the Russian Foundation for Basic Research (project no. 09 05 13605 ofi_ts), and the Presidium of the Russian Academy of Sciences (program “Mathematical Methods in Nonlinear Dynamics”).

PY - 2010

Y1 - 2010

N2 - The statistics of the occurrence of freak waves on a surface of an ideal heavy liquid is studied. The freak (rogue, extreme) waves arise in the course of evolution of a statistically homogeneous random Gaussian wave field. The mean steepness of initial data varies from small (μ2 = 1.54 × 10-3) to moderate (μ2 = 3.08 × 10-3) values. The frequency of the occurrence of extreme waves decreases with an increase in the spectral width of the initial distribution, but remains relatively high even for broad spectra (Δk/Δ ~ 1).

AB - The statistics of the occurrence of freak waves on a surface of an ideal heavy liquid is studied. The freak (rogue, extreme) waves arise in the course of evolution of a statistically homogeneous random Gaussian wave field. The mean steepness of initial data varies from small (μ2 = 1.54 × 10-3) to moderate (μ2 = 3.08 × 10-3) values. The frequency of the occurrence of extreme waves decreases with an increase in the spectral width of the initial distribution, but remains relatively high even for broad spectra (Δk/Δ ~ 1).

UR - https://www.scopus.com/pages/publications/77952087543

UR - https://www.scopus.com/pages/publications/77952087543#tab=citedBy

U2 - 10.1134/S0021364010020025

DO - 10.1134/S0021364010020025

M3 - Article

SN - 0021-3640

VL - 91

SP - 62

EP - 65

JO - JETP Letters

JF - JETP Letters

IS - 2

ER -

Probability of the occurrence of freak waves

Abstract

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