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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2021, Volume 114, Issue 2, Pages 67–71
DOI: https://doi.org/10.31857/S1234567821140032 (Mi jetpl6468) 		 
This article is cited in 1 scientific paper (total in 1 paper)

PLASMA, HYDRO- AND GAS DYNAMICS

Stability of tangential discontinuity for the vortex pancakes

D. S. Agafontsevab, E. A. Kuznetsovacd, A. A. Mailybaeve

a Skolkovo Institute of Science and Technology, Moscow, 121205 Russia
b Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117997 Russia
c Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432 Russia
d Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991 Russia
e Instituto Nacional de Matemática Pura e Aplicada – IMPA, Rio de Janeiro, 22460-320 Brazil
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DOI: https://doi.org/10.31857/S1234567821140032
Abstract: Within the incompressible three-dimensional Euler equations, we study the pancake-like high vorticity regions, which arise during the onset of developed hydrodynamic turbulence. We show that these regions have an internal fine structure consisting of three vortex layers. Such a layered structure, together with the  power law of self-similar evolution of the pancake, prevents development of the Kelvin–Helmholtz instability.
Funding agency Grant number
Russian Science Foundation 19-72-30028
National Council for Scientific and Technological Development (CNPq) 303047/2018-6
406431/2018-3
D.S. Agafontsev and E.A. Kuznetsov acknowledge the support of the Russian Science Foundation (project no. 19-72-30028). D.S. Agafontsev acknowledges the support of IMPA during the visits to Brazil. A.A. Mailybaev acknowledges the support of Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq, Brazil, grant nos. 303047/2018-6 and 406431/2018-3).
Received: 17.06.2021
Revised: 24.06.2021
Accepted: 24.06.2021
English version:
Journal of Experimental and Theoretical Physics Letters, 2021, Volume 114, Issue 2, Pages 71–75
DOI: https://doi.org/10.1134/S0021364021140010
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev, “Stability of tangential discontinuity for the vortex pancakes”, Pis'ma v Zh. Èksper. Teoret. Fiz., 114:2 (2021), 67–71; JETP Letters, 114:2 (2021), 71–75
Citation in format AMSBIB
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\paper Stability of tangential discontinuity for the vortex pancakes
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2021
\vol 114
\issue 2
\pages 67--71
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\crossref{https://doi.org/10.31857/S1234567821140032}
\transl
\jour JETP Letters
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\vol 114
\issue 2
\pages 71--75
\crossref{https://doi.org/10.1134/S0021364021140010}
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  • https://www.mathnet.ru/eng/jetpl/v114/i2/p67
    • This publication is cited in the following 1 articles:
    1. Timo Schorlepp, Tobias Grafke, Sandra May, Rainer Grauer, Phil. Trans. R. Soc. A., 380:2226 (2022)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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