← NS-DCRP / DCRP-51 · Curved-Sheet Uncertainty and Fragmentation-Resistant Second-Order Diffusion Activation

NS-DCRP · 51 Gap Closure 2026-08

DCRP-51: Curved-Sheet Uncertainty and Fragmentation-Resistant Second-Order Diffusion Activation

Closes the gap in DCRP-50 (the gradient rate can be large while the sheet's enstrophy-carrying mass tends to zero), proves that sheet fragmentation cannot reduce the reciprocal-thickness diffusion ledger, and compiles the multi-sheet filtered gradient sum back into genuinely unfiltered Navier–Stokes second-order diffusion.

This round's status: Gap Closure — Taken from the file's own objective/executive-result section, meaning preserved, not a full verbatim translation.

Connections

Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.

PreviousDCRP-50 · Thickness-Scale Curvature and the Filtered Vorticity-Direction Compiler
NextDCRP-52 · Palinstrophy Criticality Audit and Gaussian-Batchelor Return Rigidity
NS-DCRP progress50 / 55

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