Remarks on a quasi-linear model of the Navier-Stokes Equations

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dc.creatorWaleffe, Fabian
dc.date2004-09-19
dc.date.accessioned2026-07-07T05:12:16Z
dc.date.available2026-07-07T05:12:16Z
dc.descriptionDinaburg and Sinai recently proposed a quasi-linear model of the Navier-Stokes equations. Their model assumes that nonlocal interactions in Fourier space are dominant, contrary to the Kolmogorov turbulence phenomenology where local interactions prevail. Their equation corresponds to the linear evolution of small scales on a background field with uniform gradient, but the latter is defined as the linear superposition of all the small scale gradients at the origin. This is not self-consistent.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0409310
dc.identifierhttp://arxiv.org/abs/math/0409310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72516
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectFluid Dynamics
dc.subject76D05; 35Q35
dc.titleRemarks on a quasi-linear model of the Navier-Stokes Equations
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