2 citations · 3 across the 2 of their papers we have counts for
5 papers
Time-Global Regularity of the Navier-Stokes System with Hyper-Dissipation--Turbulent Scenario
Zoran Grujic, Liaosha Xu
The question of whether the hyper-dissipative (HD) Napier-Stokes (NS) system can exhibit spontaneous formation of singularities in the super-critical regime--the hyper-diffusion be…
Asymptotic Criticality of the Navier-Stokes Regularity Problem
Zoran Grujic, Liaosha Xu
The problem of global-in-time regularity for the 3D Navier-Stokes equations, i.e., the question of whether a smooth flow can exhibit spontaneous formation of singularities, is a fu…
A Regularity Criterion for Solutions to the 3D NSE in `Dynamically Restricted' Local Morrey Spaces
Zoran Grujic, Liaosha Xu
It is shown that a local-in-time strong solution to the 3D Navier-Stokes equations remains regular on an interval provided a smallness -condition on in a lower…
Local-in-time Solvability and Space Analyticity for the Navier-Stokes Equations with BMO-type Initial Data
Liaosha Xu
It is proved that there exists a local-in-time solution of the Navier-Stokes equations such that every has an analytic extension on a com…
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…