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math.AP2026
Filtered Vortex Stretching and Subgrid Defects for the Three-Dimensional Navier-Stokes Equations
Runlong Yu
We prove a finite-scale estimate for vortex stretching in spatially filtered three-dimensional Navier--Stokes flow. The positive near-field part of the filtered stretching is bound…
math.AP2026
A Structural Audit of Navier-Stokes Obstruction Calculus
Runlong Yu
We audit a finite-scale program for the local regularity problem of the three-dimensional incompressible Navier--Stokes equations. The program develops critical ledgers, coarse-gra…
math.AP2026
Coarse-Grained Resolution and Pressure-Flux Work Depletion for Navier-Stokes CKN Badness
Runlong Yu
We prove a finite-scale coarse-grained decomposition for the three-dimensional incompressible Navier-Stokes equations near the Caffarelli-Kohn-Nirenberg local regularity framework.…