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Invisible Defect Cascades for Navier-Stokes Regularity

math.AP · 2026-06-10 · unverdicted · novelty 4.0

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.

A Structural Audit of Navier-Stokes Obstruction Calculus

math.AP · 2026-06-24 · unverdicted · novelty 3.0

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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