No large first-threshold packet can occur in the 3D Navier-Stokes system, so the critical envelope remains bounded and global regularity holds for large data.
Leray, Sur le mouvement d’un liquide visqueux emplissant l’espace,Acta Math.63 (1934), 193–248
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Large-Data Global Regularity for Three-Dimensional Navier--Stokes II: A Direct First-Threshold Continuation Proof for the Full System
No large first-threshold packet can occur in the 3D Navier-Stokes system, so the critical envelope remains bounded and global regularity holds for large data.