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Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4. / Антонов, Николай Викторович; Гулицкий, Николай Михайлович; Костенко, Мария Михайловна; Lucivjansky, Tomas.

In: EPJ Web of Conferences, Vol. 164, 05.12.2017, p. 07044.

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

Harvard

Антонов, НВ, Гулицкий, НМ, Костенко, ММ & Lucivjansky, T 2017, 'Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4', EPJ Web of Conferences, vol. 164, pp. 07044. https://doi.org/10.1051/epjconf/201716407044

APA

Антонов, Н. В., Гулицкий, Н. М., Костенко, М. М., & Lucivjansky, T. (2017). Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4. EPJ Web of Conferences, 164, 07044. https://doi.org/10.1051/epjconf/201716407044

Vancouver

Антонов НВ, Гулицкий НМ, Костенко ММ, Lucivjansky T. Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4. EPJ Web of Conferences. 2017 Dec 5;164:07044. https://doi.org/10.1051/epjconf/201716407044

Author

Антонов, Николай Викторович ; Гулицкий, Николай Михайлович ; Костенко, Мария Михайловна ; Lucivjansky, Tomas. / Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4. In: EPJ Web of Conferences. 2017 ; Vol. 164. pp. 07044.

BibTeX

@article{a91c20add64f4850819f4f4bd30073cc,
title = "Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4",
abstract = "The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension d=4. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation.",
keywords = "Renormalization group, Turbulence, Passive advection",
author = "Антонов, {Николай Викторович} and Гулицкий, {Николай Михайлович} and Костенко, {Мария Михайловна} and Tomas Lucivjansky",
year = "2017",
month = dec,
day = "5",
doi = "10.1051/epjconf/201716407044",
language = "English",
volume = "164",
pages = "07044",
journal = "EPJ Web of Conferences",
issn = "2100-014X",
publisher = "EDP Sciences",

}

RIS

TY - JOUR

T1 - Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4

AU - Антонов, Николай Викторович

AU - Гулицкий, Николай Михайлович

AU - Костенко, Мария Михайловна

AU - Lucivjansky, Tomas

PY - 2017/12/5

Y1 - 2017/12/5

N2 - The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension d=4. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation.

AB - The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension d=4. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation.

KW - Renormalization group

KW - Turbulence

KW - Passive advection

U2 - 10.1051/epjconf/201716407044

DO - 10.1051/epjconf/201716407044

M3 - Article

VL - 164

SP - 07044

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

SN - 2100-014X

ER -

ID: 34843801