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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10 Pith papers cite this work. Polarity classification is still indexing.
10
Pith papers citing it
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math.AP 10years
2026 10verdicts
UNVERDICTED 10representative citing papers
Under a fixed scale-invariant bound on suitable weak solutions of 3D Navier-Stokes, smallness of the vertical velocity component yields a positive lower bound on the local regularity radius via harmonic pressure approximation.
Computational searches maximizing LPS integrals and L3 norms in 3D periodic Navier-Stokes flows found no evidence of singularity formation, but quantified close approaches and transient growth.
Develops a recursive finite-window audit chain framework with anti-phantom certificates and propagation theorems for Navier-Stokes generated packages.
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.
If a mild solution to 3D incompressible Navier-Stokes with v0 in Ḣ^{1/2} and Ω0 in L^{r0} (r0∈(1,2)) blows up at T*, then for any 2<p<∞ and unit vector e the integral ∫_0^{T*} ||(v(t)|e)||_{Ḃ^{1/2+2/p}_{2,∞}}^p dt diverges at T*.
Proves a finite-chain CKN-bad scale counting theorem for 3D Navier-Stokes via standard PDE closure with one-component compactness and an amended canonical detector realization.
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.
Proves a local-to-clean detection theorem and anti-phantom principle ensuring baseline-visible defects in sharp Navier-Stokes packages are either detector-caught or charged to a quotient-residual ledger under listed conditions.
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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Finite-Scale One-Component Regularity via Harmonic Pressure for the 3D Navier-Stokes Equations
Under a fixed scale-invariant bound on suitable weak solutions of 3D Navier-Stokes, smallness of the vertical velocity component yields a positive lower bound on the local regularity radius via harmonic pressure approximation.
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The Ladyzhenskaya-Prodi-Serrin Conditions and the Search for Extreme Behavior in 3D Navier-Stokes Flows
Computational searches maximizing LPS integrals and L3 norms in 3D periodic Navier-Stokes flows found no evidence of singularity formation, but quantified close approaches and transient growth.
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Finite-Window Recursive Audit Chains for Navier-Stokes Generated Packages
Develops a recursive finite-window audit chain framework with anti-phantom certificates and propagation theorems for Navier-Stokes generated packages.
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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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On the Critical One Components Regularity for the $3-D$ Navier-Stokes System in $L^p_T(\dot{B}^{\frac 1 2+\frac 2 p}_{2,\infty})$ spaces
If a mild solution to 3D incompressible Navier-Stokes with v0 in Ḣ^{1/2} and Ω0 in L^{r0} (r0∈(1,2)) blows up at T*, then for any 2<p<∞ and unit vector e the integral ∫_0^{T*} ||(v(t)|e)||_{Ḃ^{1/2+2/p}_{2,∞}}^p dt diverges at T*.
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Finite-Chain CKN-Bad Scale Counting for Navier-Stokes: Standard PDE Closure and Canonical Detector Realization
Proves a finite-chain CKN-bad scale counting theorem for 3D Navier-Stokes via standard PDE closure with one-component compactness and an amended canonical detector realization.
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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.
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Finite-Window Local-to-Clean Transfer and Anti-Phantom Detection for Sharp Navier-Stokes Packages
Proves a local-to-clean detection theorem and anti-phantom principle ensuring baseline-visible defects in sharp Navier-Stokes packages are either detector-caught or charged to a quotient-residual ledger under listed conditions.