2 papers
math.AP2025
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…
math.AP2025
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…