Claims global regularity for 3D Navier-Stokes via a two-part argument that closes the axisymmetric swirl case in lifted coordinates and reduces the full system by excluding all other singular channels.
Shahmurov, Large-data global regularity for three-dimensional Navier–Stokes I: a direct first-threshold continuation proof for the axisymmetric swirl class, preprint
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A Classical Two-Part First-Threshold Proof of Global Smoothness for Navier--Stokes: Axisymmetric Swirl Closure and Full-System Reduction
Claims global regularity for 3D Navier-Stokes via a two-part argument that closes the axisymmetric swirl case in lifted coordinates and reduces the full system by excluding all other singular channels.