Exact Result for the 3rd Order Correlations of Velocity in Turbulence with Helicity

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dc.creatorL'vov, Victor S.
dc.creatorPodivilov, Evgenii
dc.creatorProcaccia, Itamar
dc.date1997-05-22
dc.date1997-06-09
dc.date.accessioned2026-07-07T09:02:18Z
dc.date.available2026-07-07T09:02:18Z
dc.descriptionAll statistical models of turbulence take into account Kolmogorov's exact result known as the "4/5 law" which stems from energy conservation. This law states that the energy flux expressed as a spatial derivative of the 3rd order velocity correlator equals the rate of energy dissipation. We have found an additional exact result which stems from the conservation of helicity in turbulence without inversion symmetry. It equates the flux of helicity expressed as a second spatial derivative of the 3rd order velocity correlator with the rate of helicity dissipation. This exact result must be incorporated to all statistical theories of turbulence with helicity. After submitting this paper for publication we learned that the main result was independently found by Otto Chkhetiani in JETP Lett . 63, 808 (1996).
dc.descriptionREVTeX, 2 pages. Online (HTML) version of the paper available at http://lvov.weizmann.ac.il/onlinelist.html
dc.identifierhttps://arxiv.org/abs/chao-dyn/9705016
dc.identifierhttp://arxiv.org/abs/chao-dyn/9705016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148581
dc.subjectChaotic Dynamics
dc.titleExact Result for the 3rd Order Correlations of Velocity in Turbulence with Helicity
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