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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4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
fields
math.AP 4years
2026 4verdicts
UNVERDICTED 4representative 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.
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*.
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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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*.