92 citations · 548 across the 18 of their papers we have counts for
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On taming Moffatt-Kimura vortices of doom in the viscous case
Zoran Grujic
In this note we propose a two-layer viscous mechanism for preventing finite time singularity formation in the Moffatt-Kimura model of two counter-rotating vortex rings colliding at…
On persistence of spatial analyticity in the hyper-dissipative Navier-Stokes models
Aseel Farhat, Zoran Grujic
The goal of this note is to demonstrate that as soon as the hyper-diffusion exponent is greater than one, a class of finite time blow-up scenarios consistent with the analytic stru…
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 geometric measure-type regularity criterion for solutions to the 3D Navier-Stokes equations
Zoran Grujic
A local anisotropic geometric measure-type condition on the super-level sets of solutions to the 3D NSE preventing the formation of finite-time singularity is presented; essentiall…
Coherent vortex structures and 3D enstrophy cascade
R. Dascaliuc, Z. Grujić
Existence of 2D enstrophy cascade in a suitable mathematical setting, and under suitable conditions compatible with 2D turbulence phenomenology, is known both in the Fourier and in…