15 citations · 33 across the 5 of their papers we have counts for
5 papers
Is it true that no mathematical relation exists between the Navier-Stokes equations and the multifractal model?
John D. Gibbon, Dario Vincenzi
Contrary to accepted turbulence folklore, which holds that no mathematical relation exists between the Navier-Stokes equations (NSEs) and the multifractal model (MFM) of Parisi and…
Depletion of Nonlinearity in Magnetohydrodynamic Turbulence: Insights from Analysis and Simulations
J. D. Gibbon, A. Gupta, G. Krstulovic +6
We build on recent developments in the study of fluid turbulence [Gibbon \textit{et al.} Nonlinearity 27, 2605 (2014)] to define suitably scaled, order- moments, , of…
Dynamics of scaled norms of vorticity for the three-dimensional Navier-Stokes and Euler equations
J. D. Gibbon
A series of numerical experiments is suggested for the three-dimensional Navier-Stokes and Euler equations on a periodic domain based on a set of -norms of vorticity $Ω_{m}…
Estimating intermittency in three-dimensional Navier-Stokes turbulence
J. D. Gibbon
The issue of why computational resolution in Navier-Stokes turbulence is so hard to achieve is addressed. It is shown that Navier-Stokes solutions can potentially behave differentl…
Intermittency and regularity issues in 3D Navier-Stokes turbulence
J. D. Gibbon, Charles R. Doering
Two related open problems in the theory of 3D Navier-Stokes turbulence are discussed in this paper. The first is the phenomenon of intermittency in the dissipation field. Dissipati…