Proves the standard observable package is insufficient for quantitative trace rates in NS one-component degeneration and states a conditional dichotomy on relaxed Schur visibility versus an NS-realizable left-singular cascade.
Scheffer, Partial regularity of solutions to the Navier–Stokes equations,Pacific J
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
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math.AP 6years
2026 6verdicts
UNVERDICTED 6representative citing papers
Establishes a finite-scale estimate for filtered vortex stretching in 3D Navier-Stokes bounded by vorticity direction defects, absorbed by filtered diffusion, with far-field and commutator terms controlled via Carleson embeddings and cylindrical Young measures.
The paper establishes a coarse-grained resolution inequality Psi(r) <= 4 Psi^ell(r) + 4 Omega^ell(r) and a fixed-chain depletion theorem for combined pressure-flux work in the Navier-Stokes CKN setting.
Proves a conditional finite-scale reduction theorem deriving a lower bound on the regularity radius from smallness of the vertical velocity component under multiple structural assumptions for 3D Navier-Stokes.
The paper presents a conditional scale-critical defect-cascade reduction for the local regularity problem of the 3D incompressible Navier-Stokes equations that excludes invisible cascades to obtain CKN-scale regularity under structural hypotheses.
Audit of Navier-Stokes obstruction calculus shows existing decompositions locate CKN badness transport but lack coercive estimates, proving a resolution lemma and identifying the need for a filtered stretching-diffusion estimate with subgrid terms.
citing papers explorer
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Schur Visibility and Anti-Phantom Reduction in One-Component Navier-Stokes Degeneration
Proves the standard observable package is insufficient for quantitative trace rates in NS one-component degeneration and states a conditional dichotomy on relaxed Schur visibility versus an NS-realizable left-singular cascade.
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Filtered Vortex Stretching and Subgrid Defects for the Three-Dimensional Navier-Stokes Equations
Establishes a finite-scale estimate for filtered vortex stretching in 3D Navier-Stokes bounded by vorticity direction defects, absorbed by filtered diffusion, with far-field and commutator terms controlled via Carleson embeddings and cylindrical Young measures.
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Coarse-Grained Resolution and Pressure-Flux Work Depletion for Navier-Stokes CKN Badness
The paper establishes a coarse-grained resolution inequality Psi(r) <= 4 Psi^ell(r) + 4 Omega^ell(r) and a fixed-chain depletion theorem for combined pressure-flux work in the Navier-Stokes CKN setting.
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Strict 2.5D Shadows for One-Component Navier-Stokes Regularity
Proves a conditional finite-scale reduction theorem deriving a lower bound on the regularity radius from smallness of the vertical velocity component under multiple structural assumptions for 3D Navier-Stokes.
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Invisible Defect Cascades for Navier-Stokes Regularity
The paper presents a conditional scale-critical defect-cascade reduction for the local regularity problem of the 3D incompressible Navier-Stokes equations that excludes invisible cascades to obtain CKN-scale regularity under structural hypotheses.
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A Structural Audit of Navier-Stokes Obstruction Calculus
Audit of Navier-Stokes obstruction calculus shows existing decompositions locate CKN badness transport but lack coercive estimates, proving a resolution lemma and identifying the need for a filtered stretching-diffusion estimate with subgrid terms.