The Kolmogorov turbulence theory in the light of six-dimensional Navier-Stokes' equation

dc.creatorTsuge, Shunichi
dc.date2003-03-07
dc.date2003-03-12
dc.date.accessioned2026-07-07T05:34:35Z
dc.date.available2026-07-07T05:34:35Z
dc.descriptionThe classical turbulence theory by Kolmogorov is reconsidered using Navier-Stokes' equation generalized to 6D physical-plus-eddy space. Strong pseudo-singularity is shown to reveal itself along the boundary `ridge' line separating the dissipation and inertial sub-ranges surrounding the origin of the eddy space. A speculation is made that this singularity is generated by two dipoles of opposite sign aligned on the common axis. It is supported by the observation that the universal power spectrum calculated rediscovers the Kolmogorov's -5/3 power law as independent of the dimensional approach.
dc.description13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/nlin/0303013
dc.identifierhttp://arxiv.org/abs/nlin/0303013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80423
dc.subjectChaotic Dynamics
dc.subjectPattern Formation and Solitons
dc.subjectFluid Dynamics
dc.titleThe Kolmogorov turbulence theory in the light of six-dimensional Navier-Stokes' equation
dc.typetext

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