17 citations · 28 across the 2 of their papers we have counts for
7 papers
An algebraic reduction of the `scaling gap' in the Navier-Stokes regularity problem
Zachary Bradshaw, Aseel Farhat, Z. Grujic
It is shown--within a mathematical framework based on the suitably defined scale of sparseness of the super-level sets of the positive and negative parts of the vorticity component…
Frequency localized regularity criteria for the 3D Navier-Stokes equations
Zoran Grujic, Zachary Bradshaw
Two regularity criteria are established to highlight which Littlewood-Paley frequencies play an essential role in possible singularity formation in a Leray-Hopf weak solution to th…
A note on the surface quasi-geostrophic temperature variance cascade
Zachary Bradshaw, Zoran Grujic
In this note we examine the dynamical role played by inertial forces on the surface temperature (or buoyancy) variance in strongly rotating, stratified flows with uniform potential…
A spatially localized estimate on the vorticity in the 3D NSE
Z. Bradshaw, Z. Grujić
The purpose of this note is to present a spatially localized bound on the vorticity in the 3D Navier-Stokes equations, assuming a very mild, \emph{purely geometric} cond…
Blow-up scenarios for 3D NSE exhibiting sub-criticality with respect to the scaling of one-dimensional local sparseness
Zachary Bradshaw, Zoran Grujic
It is shown that, if the vorticity magnitude associated with a (presumed singular) three-dimensional incompressible Navier-Stokes flow blows-up in a manner exhibiting certain {\em…
On the transport and concentration of enstrophy in 3D magnetohydrodynamic turbulence
Z. Bradshaw, Z. Grujić
Working directly from the 3D magnetohydrodynamical equations and entirely in physical scales we formulate a scenario wherein the enstrophy flux exhibits cascade-like properties. In…