3 papers
math.AP2013
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…
math-ph2012
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…
math.AP2011
Energy cascades and flux locality in physical scales of the 3D Navier-Stokes equations
R. Dascaliuc, Z. Grujic
Rigorous estimates for the total - (kinetic) energy plus pressure - flux in R^3 are obtained from the three dimensional Navier-Stokes equations. The bounds are used to establish a…