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Folding in Two-dimensional Hydrodynamic Turbulence. / Kuznetsov, E. A.; Sereshchenko, E. V.

In: JETP Letters, Vol. 109, No. 4, 01.02.2019, p. 239-242.

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

Harvard

Kuznetsov, EA & Sereshchenko, EV 2019, 'Folding in Two-dimensional Hydrodynamic Turbulence', JETP Letters, vol. 109, no. 4, pp. 239-242. https://doi.org/10.1134/S0021364019040039

APA

Kuznetsov, E. A., & Sereshchenko, E. V. (2019). Folding in Two-dimensional Hydrodynamic Turbulence. JETP Letters, 109(4), 239-242. https://doi.org/10.1134/S0021364019040039

Vancouver

Kuznetsov EA, Sereshchenko EV. Folding in Two-dimensional Hydrodynamic Turbulence. JETP Letters. 2019 Feb 1;109(4):239-242. doi: 10.1134/S0021364019040039

Author

Kuznetsov, E. A. ; Sereshchenko, E. V. / Folding in Two-dimensional Hydrodynamic Turbulence. In: JETP Letters. 2019 ; Vol. 109, No. 4. pp. 239-242.

BibTeX

@article{9edf916d38234640915d10c022365f40,
title = "Folding in Two-dimensional Hydrodynamic Turbulence",
abstract = "The vorticity rotor field B = curlω (divorticity) for freely decaying two-dimensional hydrodynamic turbulence due to a tendency to breaking is concentrated near the lines corresponding to the position of the vorticity quasi-shocks. The maximum value of the divorticity B max at the stage of quasi-shocks formation increases exponentially in time, while the thickness ℓ(t) of the maximum area in the transverse direction to the vector B decreases in time also exponentially. It is numerically shown that B max (t) depends on the thickness according to the power law B max (t) ∼ ℓ −α (t), where α = 2/3. This behavior indicates in favor of folding for the divergence-free vector field of the divorticity. ",
keywords = "HAMILTONIAN-DYNAMICS, VORTEX, LINES",
author = "Kuznetsov, {E. A.} and Sereshchenko, {E. V.}",
year = "2019",
month = feb,
day = "1",
doi = "10.1134/S0021364019040039",
language = "English",
volume = "109",
pages = "239--242",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "4",

}

RIS

TY - JOUR

T1 - Folding in Two-dimensional Hydrodynamic Turbulence

AU - Kuznetsov, E. A.

AU - Sereshchenko, E. V.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - The vorticity rotor field B = curlω (divorticity) for freely decaying two-dimensional hydrodynamic turbulence due to a tendency to breaking is concentrated near the lines corresponding to the position of the vorticity quasi-shocks. The maximum value of the divorticity B max at the stage of quasi-shocks formation increases exponentially in time, while the thickness ℓ(t) of the maximum area in the transverse direction to the vector B decreases in time also exponentially. It is numerically shown that B max (t) depends on the thickness according to the power law B max (t) ∼ ℓ −α (t), where α = 2/3. This behavior indicates in favor of folding for the divergence-free vector field of the divorticity.

AB - The vorticity rotor field B = curlω (divorticity) for freely decaying two-dimensional hydrodynamic turbulence due to a tendency to breaking is concentrated near the lines corresponding to the position of the vorticity quasi-shocks. The maximum value of the divorticity B max at the stage of quasi-shocks formation increases exponentially in time, while the thickness ℓ(t) of the maximum area in the transverse direction to the vector B decreases in time also exponentially. It is numerically shown that B max (t) depends on the thickness according to the power law B max (t) ∼ ℓ −α (t), where α = 2/3. This behavior indicates in favor of folding for the divergence-free vector field of the divorticity.

KW - HAMILTONIAN-DYNAMICS

KW - VORTEX

KW - LINES

UR - http://www.scopus.com/inward/record.url?scp=85061430170&partnerID=8YFLogxK

U2 - 10.1134/S0021364019040039

DO - 10.1134/S0021364019040039

M3 - Article

AN - SCOPUS:85061430170

VL - 109

SP - 239

EP - 242

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 4

ER -

ID: 18563240