Kolmogorov spectra of weak turbulence in media with two types of interacting waves

F. Dias; P. Guyenne; V. E. Zakharov

doi:10.1016/S0375-9601(01)00711-3

Kolmogorov spectra of weak turbulence in media with two types of interacting waves

F. Dias, P. Guyenne, V. E. Zakharov

Mathematics

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

8 Scopus citations

Abstract

A system of one-dimensional equations describing media with two types of interacting waves is considered. This system can be viewed as an alternative to the model introduced by Majda, McLaughlin and Tabak in 1997 for assessing the validity of weak turbulence theory. The predicted Kolmogorov solutions are the same in both models. The main difference between both models is that coherent structures such as wave collapses and quasisolitons cannot develop in the present model. As shown recently these coherents structures can influence the weakly turbulent regime. It is shown here that in the absence of coherent structures weak turbulence spectra can be clearly observed numerically.

Original language	English (US)
Pages (from-to)	139-145
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	291
Issue number	2-3
DOIs	https://doi.org/10.1016/S0375-9601(01)00711-3
State	Published - Dec 3 2001

Keywords

Dispersive waves
Kolmogorov spectra
Weak turbulence

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/S0375-9601(01)00711-3

Cite this

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title = "Kolmogorov spectra of weak turbulence in media with two types of interacting waves",

abstract = "A system of one-dimensional equations describing media with two types of interacting waves is considered. This system can be viewed as an alternative to the model introduced by Majda, McLaughlin and Tabak in 1997 for assessing the validity of weak turbulence theory. The predicted Kolmogorov solutions are the same in both models. The main difference between both models is that coherent structures such as wave collapses and quasisolitons cannot develop in the present model. As shown recently these coherents structures can influence the weakly turbulent regime. It is shown here that in the absence of coherent structures weak turbulence spectra can be clearly observed numerically.",

keywords = "Dispersive waves, Kolmogorov spectra, Weak turbulence",

author = "F. Dias and P. Guyenne and Zakharov, {V. E.}",

note = "Funding Information: This work was performed in the framework of the NATO Linkage Grant OUTR.LG 970583. V.E.Z. also acknowledges support of the US Army, under the grant DACA 42-00-C-0044, and of ONR, under the grant N00014-98-1-0070.",

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doi = "10.1016/S0375-9601(01)00711-3",

language = "English (US)",

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pages = "139--145",

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T1 - Kolmogorov spectra of weak turbulence in media with two types of interacting waves

AU - Dias, F.

AU - Guyenne, P.

AU - Zakharov, V. E.

N1 - Funding Information: This work was performed in the framework of the NATO Linkage Grant OUTR.LG 970583. V.E.Z. also acknowledges support of the US Army, under the grant DACA 42-00-C-0044, and of ONR, under the grant N00014-98-1-0070.

PY - 2001/12/3

Y1 - 2001/12/3

N2 - A system of one-dimensional equations describing media with two types of interacting waves is considered. This system can be viewed as an alternative to the model introduced by Majda, McLaughlin and Tabak in 1997 for assessing the validity of weak turbulence theory. The predicted Kolmogorov solutions are the same in both models. The main difference between both models is that coherent structures such as wave collapses and quasisolitons cannot develop in the present model. As shown recently these coherents structures can influence the weakly turbulent regime. It is shown here that in the absence of coherent structures weak turbulence spectra can be clearly observed numerically.

AB - A system of one-dimensional equations describing media with two types of interacting waves is considered. This system can be viewed as an alternative to the model introduced by Majda, McLaughlin and Tabak in 1997 for assessing the validity of weak turbulence theory. The predicted Kolmogorov solutions are the same in both models. The main difference between both models is that coherent structures such as wave collapses and quasisolitons cannot develop in the present model. As shown recently these coherents structures can influence the weakly turbulent regime. It is shown here that in the absence of coherent structures weak turbulence spectra can be clearly observed numerically.

KW - Dispersive waves

KW - Kolmogorov spectra

KW - Weak turbulence

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U2 - 10.1016/S0375-9601(01)00711-3

DO - 10.1016/S0375-9601(01)00711-3

M3 - Article

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SN - 0375-9601

VL - 291

SP - 139

EP - 145

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 2-3

ER -

Kolmogorov spectra of weak turbulence in media with two types of interacting waves

Abstract

Keywords

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