Axisymmetric Navier--Stokes with Swirl:\ Final Master Manuscript for the Unconditional Global Existence Program
Analysis of PDEs
2026-04-24 v1
Abstract
This manuscript assembles the full axisymmetric-with-swirl large-data program in a single self-contained master file. The paper fixes the lifted five-dimensional formulation, the extraction score, the coherent-versus-noncoherent branch structure, the geometric elimination of fragmented, vertically thinned, displaced-only, and off-axis thin-ring channels, and the local packet-window architecture for the residual axis-centered regime. The final analytic task is reduced to a localized proximal diffuse estimate on a finite packet window. We record the complete theorem stack and the exact local operator identities needed for that final verification, in a form suitable for direct journal submission and final checking.
Keywords
Cite
@article{arxiv.2604.21213,
title = {Axisymmetric Navier--Stokes with Swirl:\ Final Master Manuscript for the Unconditional Global Existence Program},
author = {Rishad Shahmurov},
journal= {arXiv preprint arXiv:2604.21213},
year = {2026}
}