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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2002, Volume 76, Issue 6, Pages 406–410 (Mi jetpl2925)  

This article is cited in 17 scientific papers (total in 17 papers)

PLASMA, GASES

Vortex line representation for flows of ideal and viscous fluids

E. A. Kuznetsov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
References:
Abstract: The Euler hydrodynamics describing the vortex flows of ideal fluids is shown to coincide with the equations of motion obtained for a charged compressible fluid moving under the effect of a self-consistent electromagnetic field. For the Euler equations, the passage to the Lagrange description in the new hydrodynamics is equivalent to a combined Lagrange-Euler description, i.e., to the vortex line representation [5]. Owing to the compressibility of the new hydrodynamics, the collapse of a vortex flow of an ideal fluid can be interpreted as a result of the breaking of vortex lines. The Navier-Stokes equation formulated in terms of the vortex line representation proves to be reduced to a diffusion-type equation for the Cauchy invariant with the diffusion tensor determined by the metric of this representation.
Received: 08.08.2002
English version:
Journal of Experimental and Theoretical Physics Letters, 2002, Volume 76, Issue 6, Pages 346–350
DOI: https://doi.org/10.1134/1.1525034
Bibliographic databases:
Document Type: Article
PACS: 47.15.Ki, 47.32.Cc
Language: Russian
Citation: E. A. Kuznetsov, “Vortex line representation for flows of ideal and viscous fluids”, Pis'ma v Zh. Èksper. Teoret. Fiz., 76:6 (2002), 406–410; JETP Letters, 76:6 (2002), 346–350
Citation in format AMSBIB
\Bibitem{Kuz02}
\by E.~A.~Kuznetsov
\paper Vortex line representation for flows of ideal and viscous fluids
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2002
\vol 76
\issue 6
\pages 406--410
\mathnet{http://mi.mathnet.ru/jetpl2925}
\transl
\jour JETP Letters
\yr 2002
\vol 76
\issue 6
\pages 346--350
\crossref{https://doi.org/10.1134/1.1525034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0040669609}
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  • https://www.mathnet.ru/eng/jetpl/v76/i6/p406
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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