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.
Grafakos,Classical Fourier Analysis, 3rd ed., Springer
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
UNVERDICTED 4representative citing papers
FrFT Littlewood-Paley theory is unified by chirp conjugation to classical Fourier counterparts, inheriting estimates with unchanged constants.
Direct first-threshold continuation proof for global regularity of axisymmetric 3D Navier-Stokes with swirl via lifted variables and 5D Dirichlet visibility.
Derives an N^{4+ε} incidence bound on orbit-triad interactions via reduction to the two-squares representation function, plus exact orbit-level enstrophy identity and Sobolev row-sum bounds for the symmetry-reduced transfer matrix.
citing papers explorer
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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.
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Recent progress of Littlewood-paley Theory with chirp function
FrFT Littlewood-Paley theory is unified by chirp conjugation to classical Fourier counterparts, inheriting estimates with unchanged constants.
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Large-Data Global Regularity for Three-Dimensional Navier--Stokes I: A Direct First-Threshold Continuation Proof for the Axisymmetric Swirl Class
Direct first-threshold continuation proof for global regularity of axisymmetric 3D Navier-Stokes with swirl via lifted variables and 5D Dirichlet visibility.
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Orbit-Level Transfer Matrix for the 3D Fourier-Galerkin Navier-Stokes System on the Periodic Torus: Explicit Orbit-Triad Incidence Bounds and Deterministic Row-Sum Estimates
Derives an N^{4+ε} incidence bound on orbit-triad interactions via reduction to the two-squares representation function, plus exact orbit-level enstrophy identity and Sobolev row-sum bounds for the symmetry-reduced transfer matrix.