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

Mathematics

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

14 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

ASJC Scopus subject areas

General Materials Science
General Physics and Astronomy
Physical and Theoretical Chemistry

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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”.",

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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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How probability for freak wave formation can be found

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