How probability for freak wave formation can be found

V. E. Zakharov; A. I. Dyachenko; R. V. Shamin

doi:10.1140/epjst/e2010-01242-y

How probability for freak wave formation can be found

V. E. Zakharov
, A. I. Dyachenko
, R. V. Shamin

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

15 Scopus citations

Abstract

The statistics of arising of freak waves on a surface of an ideal heavy fluid is studied. The freak waves arise during the evolution of statistically homogeneous initial conditions with a Gaussian probability. Simple equation describing evolution of "almost" 1-D water waves is derived using important property of vanishing four-wave interaction.

Original language	English (US)
Pages (from-to)	113-124
Number of pages	12
Journal	European Physical Journal: Special Topics
Volume	185
Issue number	1
DOIs	https://doi.org/10.1140/epjst/e2010-01242-y
State	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

General Materials Science
General Physics and Astronomy
Physical and Theoretical Chemistry

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title = "How probability for freak wave formation can be found",

abstract = "The statistics of arising of freak waves on a surface of an ideal heavy fluid is studied. The freak waves arise during the evolution of statistically homogeneous initial conditions with a Gaussian probability. Simple equation describing evolution of {"}almost{"} 1-D water waves is derived using important property of vanishing four-wave interaction.",

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

note = "Funding Information: This work was supported by the US Army Corps of Engineers Grant W912-BU-08-P-0143, by ONR Grant N00014-06-C-0130, NSF Grant DMS 0404577, Grant NOPP ”TSA-a two scale approximation for wind-generated ocean surface waves”, RFBR Grant 09-01-00631 and RFBR Grant 07-01-92165-CNRS, RFBR Grant 09-05-13605, the Program ”Fundamental Problems in Nonlinear Dynamics” from the RAS Presidium, and Grant ”Leading Scientific Schools of Russia”.",

year = "2010",

doi = "10.1140/epjst/e2010-01242-y",

language = "English (US)",

volume = "185",

pages = "113--124",

journal = "European Physical Journal: Special Topics",

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T1 - How probability for freak wave formation can be found

AU - Zakharov, V. E.

AU - Dyachenko, A. I.

AU - Shamin, R. V.

N1 - Funding Information: This work was supported by the US Army Corps of Engineers Grant W912-BU-08-P-0143, by ONR Grant N00014-06-C-0130, NSF Grant DMS 0404577, Grant NOPP ”TSA-a two scale approximation for wind-generated ocean surface waves”, RFBR Grant 09-01-00631 and RFBR Grant 07-01-92165-CNRS, RFBR Grant 09-05-13605, the Program ”Fundamental Problems in Nonlinear Dynamics” from the RAS Presidium, and Grant ”Leading Scientific Schools of Russia”.

PY - 2010

Y1 - 2010

N2 - The statistics of arising of freak waves on a surface of an ideal heavy fluid is studied. The freak waves arise during the evolution of statistically homogeneous initial conditions with a Gaussian probability. Simple equation describing evolution of "almost" 1-D water waves is derived using important property of vanishing four-wave interaction.

AB - The statistics of arising of freak waves on a surface of an ideal heavy fluid is studied. The freak waves arise during the evolution of statistically homogeneous initial conditions with a Gaussian probability. Simple equation describing evolution of "almost" 1-D water waves is derived using important property of vanishing four-wave interaction.

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UR - https://www.scopus.com/pages/publications/77955862455#tab=citedBy

U2 - 10.1140/epjst/e2010-01242-y

DO - 10.1140/epjst/e2010-01242-y

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AN - SCOPUS:77955862455

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VL - 185

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EP - 124

JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

IS - 1

ER -

How probability for freak wave formation can be found

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