← NS-DCRP / DCRP-39 · Rank-One Vorticity-Core Decomposition and Burgers-Jet Normal Form

NS-DCRP · 39 Liouville Theorem 2026-08

DCRP-39: Rank-One Vorticity-Core Decomposition and Burgers-Jet Normal Form

Proves that a spatially common vorticity direction forces axial invariance of the vorticity magnitude, proves a global rank-one Liouville theorem under strictly-DSS sublinear tail growth, and concludes that every nonzero rank-one core must undergo either finite-radius vorticity-direction diffusion or directional tail escape.

This round's status: Liouville Theorem — 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.

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