Standard

Steady states in dual-cascade wave turbulence. / Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. et al.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 53, No. 36, 365701, 11.09.2020.

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

Harvard

Grebenev, VN, Medvedev, SB, Nazarenko, SV & Semisalov, BV 2020, 'Steady states in dual-cascade wave turbulence', Journal of Physics A: Mathematical and Theoretical, vol. 53, no. 36, 365701. https://doi.org/10.1088/1751-8121/aba29d

APA

Grebenev, V. N., Medvedev, S. B., Nazarenko, S. V., & Semisalov, B. V. (2020). Steady states in dual-cascade wave turbulence. Journal of Physics A: Mathematical and Theoretical, 53(36), [365701]. https://doi.org/10.1088/1751-8121/aba29d

Vancouver

Grebenev VN, Medvedev SB, Nazarenko SV, Semisalov BV. Steady states in dual-cascade wave turbulence. Journal of Physics A: Mathematical and Theoretical. 2020 Sept 11;53(36):365701. doi: 10.1088/1751-8121/aba29d

Author

Grebenev, V. N. ; Medvedev, S. B. ; Nazarenko, S. V. et al. / Steady states in dual-cascade wave turbulence. In: Journal of Physics A: Mathematical and Theoretical. 2020 ; Vol. 53, No. 36.

BibTeX

@article{b3609c2bf4c44ee488baa79c0fac5a0d,
title = "Steady states in dual-cascade wave turbulence",
abstract = "We study stationary solutions in the differential kinetic equation, which was introduced in Dyachenko A et al (1992 Physica D 57 96-160) for description of a local dual cascade wave turbulence. We give a full classification of single-cascade states in which there is a finite flux of only one conserved quantity. Analysis of the steady-state spectrum is based on a phase-space analysis of orbits of the underlying dynamical system. The orbits of the dynamical system demonstrate the blowup behaviour which corresponds to a 'sharp front' where the spectrum vanishes at a finite wave number. The roles of the Kolmogorov-Zakharov and thermodynamic scaling as intermediate asymptotic, as well as of singular solutions, are discussed.",
keywords = "Dual-cascade wave turbulence, Steady states, The differential kinetic equation, Wave turbulence kinetic equation, dual-cascade wave turbulence, the differential kinetic equation, wave turbulence kinetic equation, steady states, WEAK TURBULENCE",
author = "Grebenev, {V. N.} and Medvedev, {S. B.} and Nazarenko, {S. V.} and Semisalov, {B. V.}",
year = "2020",
month = sep,
day = "11",
doi = "10.1088/1751-8121/aba29d",
language = "English",
volume = "53",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "36",

}

RIS

TY - JOUR

T1 - Steady states in dual-cascade wave turbulence

AU - Grebenev, V. N.

AU - Medvedev, S. B.

AU - Nazarenko, S. V.

AU - Semisalov, B. V.

PY - 2020/9/11

Y1 - 2020/9/11

N2 - We study stationary solutions in the differential kinetic equation, which was introduced in Dyachenko A et al (1992 Physica D 57 96-160) for description of a local dual cascade wave turbulence. We give a full classification of single-cascade states in which there is a finite flux of only one conserved quantity. Analysis of the steady-state spectrum is based on a phase-space analysis of orbits of the underlying dynamical system. The orbits of the dynamical system demonstrate the blowup behaviour which corresponds to a 'sharp front' where the spectrum vanishes at a finite wave number. The roles of the Kolmogorov-Zakharov and thermodynamic scaling as intermediate asymptotic, as well as of singular solutions, are discussed.

AB - We study stationary solutions in the differential kinetic equation, which was introduced in Dyachenko A et al (1992 Physica D 57 96-160) for description of a local dual cascade wave turbulence. We give a full classification of single-cascade states in which there is a finite flux of only one conserved quantity. Analysis of the steady-state spectrum is based on a phase-space analysis of orbits of the underlying dynamical system. The orbits of the dynamical system demonstrate the blowup behaviour which corresponds to a 'sharp front' where the spectrum vanishes at a finite wave number. The roles of the Kolmogorov-Zakharov and thermodynamic scaling as intermediate asymptotic, as well as of singular solutions, are discussed.

KW - Dual-cascade wave turbulence

KW - Steady states

KW - The differential kinetic equation

KW - Wave turbulence kinetic equation

KW - dual-cascade wave turbulence

KW - the differential kinetic equation

KW - wave turbulence kinetic equation

KW - steady states

KW - WEAK TURBULENCE

UR - http://www.scopus.com/inward/record.url?scp=85090909443&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/aba29d

DO - 10.1088/1751-8121/aba29d

M3 - Article

AN - SCOPUS:85090909443

VL - 53

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 36

M1 - 365701

ER -

ID: 25291538