2 papers
math.AP2026
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…
math.AP2025
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…