3 papers
math.AP2026
On Decay of the Local Mean Oscillations of the Vorticity Direction in Critical Navier-Stokes Flows
Zoran Grujic
We isolate and analyze the geometric PDE governing the evolution of the vorticity direction in the 3D incompressible (unforced) Navier-Stokes equations (NSE), restricted to the cas…
math.AP2026
On higher-order derivative ratios in turbulent flows
Zoran Grujić, Muhammad Mohebujjaman
A computational study of higher-order derivative ratios on a time interval leading to the enstrophy peak is presented in the case of the 3D Taylor-Green vortex, a benchmark problem…
math.AP2018
Oscillations and integrability of the vorticity in the 3D NS flows
Y. Do, A. Farhat, Z. Grujic +1
In the studies of the Navier-Stokes (NS) regularity problem, it has become increasingly clear that a more realistic path to improved a priori bounds is to try to break away from th…