← NS-INRS / DCRP81/X72R64 · Mesoscale Kelvin Decomposition and the SGS Circulation Bridge

NS-INRS · DCRP81/X72R64 Reduction 2026-08

DCRP81/X72R64: Mesoscale Kelvin Decomposition and the SGS Circulation Bridge

Continuing from the single pure-Navier–Stokes terminal coordinate R_K singled out by DCRP80 (the one-period viscous Kelvin residue K^visc_n), and using the filtered-vorticity commutator architecture from DCRP33 and DCRP20–26, this round performs a mesoscale decomposition of it. It proves the exact three-term decomposition K^visc=M_ℓ+K^fvisc_ℓ+K^sgs_ℓ (endpoint-loop shadowing error, filtered viscous circulation, and subgrid-scale circulation flux), and shows that within the mesoscale window ℓ_n=ε_n^p (0

This round's status: Reduction — Taken from the file's own Executive result / STOP node, meaning preserved, not a full verbatim translation. The original paper itself was authored directly in English; only this page's own commentary (title, status, and summary) is translated here.

Connections

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

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