Axisymmetric Navier--Stokes with Swirl:\ Final Master Manuscript for the Unconditional Global Existence Program
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908988083273728 |
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| author | Shahmurov, Rishad |
| author_facet | Shahmurov, Rishad |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21213 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Axisymmetric Navier--Stokes with Swirl:\ Final Master Manuscript for the Unconditional Global Existence Program Shahmurov, Rishad Analysis of PDEs 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. |
| title | Axisymmetric Navier--Stokes with Swirl:\ Final Master Manuscript for the Unconditional Global Existence Program |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2604.21213 |