Forced Navier–Stokes blowup: reconstruction and validation reader (corrected 208-page edition)
This Navier–Stokes reconstruction and validation collection preserves the earlier 162-page reader, corrected 208-page analytical reader, complete structured reconstruction and source packages. It now also contains independent finite positive-diffusion Boussinesq control proofs, exact physical force and state maps, source-specific mathematical reviews, the D1-corrected editable 166-page source reconstruction, and an experimental Everyday English attempt. The source authors and original formulations remain identifiable in each object. This corrected 208-page reader reconstructs and examines the released construction for the classical three-dimensional Navier–Stokes equations with any positive viscosity, zero initial velocity, and smooth compactly supported forcing. It presents the source's finite-time blowup construction with bounded kinetic energy. Independent validation of the complete construction remains in progress. Read the 208-page PDF · Full reconstruction JSON · Complete portable ZIP · Standalone LaTeX source The thirteen complete mathematical bodies cover leading profiles; base and heat fields; oscillatory fields and their complete curls; mean corrections; the finite correction cycle; terminal localization and comparison; profile assembly; stage-input assembly; shrinking-cutoff summation and realization; the terminal trace quotient; compact radial-stress reconstruction; correction-cycle gain; and the complete analytic closure audit. Full written derivations, reviews, source files and reproducible finite checks are supplied in the JSON and archive. This edition corrects an omitted actual-shear remainder in the explanatory energy-production equality. It retains the varying shear, proves explicit positive-production bounds with that remainder, and gives the full force–pressure bijection. It also retains the polynomial derivative factors in the radial transport product and proves both directions of the moving-plane coordinate equation using its exact ambient projection. All six affected live component copies were corrected. The earlier 162-page edition remains available unchanged; exact source identities and reversible typography changes are recorded. Nine freshly executed replay programs passed 144 named mathematical result groups and 12 separate structural probes, with three additional stage term-list lower-bound assertions. Two exact rational evaluations and one numerical evaluation remain separately identified supplements. The reader passed complete visual coverage and a portable three-pass LaTeX rebuild with exact page-by-page extracted-text equality. These checks do not constitute a completed independent analytic or formal certificate. The original formal import closure, endpoint axiom reports, fresh Lean replay and full configured Comparator remain unfinished. The JSON is this reconstruction's complete structured source-and-check record, not the original discovery transcript. Attribution for the underlying construction belongs to the cited paper and formal repository. This release makes no prize or personal priority claim. The released source is FINITE TIME BLOWUP FOR NAVIER–STOKES. The component, profile and stage derivations use the 165-page capture, SHA-256 8c8a94ad9ac824c8b605b9827cadf7beaca48bd10b380de3cfc872a2c37afa81; the summation and radial/cycle audits also identify the distinct 166-page capture, SHA-256 0e779481c4da40bd28d1e642e1d8ca57447d129610df28dfa5a11e9af8ae228f. The formal source repository is pinned to commit 8937a8f4cbc7abaab5e9e97d1cc7f5d2319d9538. The finite source-revision comparison retains its stated scope. GitHub reading and source mirror: Navier–Stokes workbench. This additive version retains all seven files of the previous 162-page edition unchanged and adds the corrected 208-page edition. Related collections: Yang–Mills spectral and state maps and S6 topology and degeneration calculations. These are separate research records, not an assertion that one theorem resolves the others. Living workbench and PolyClank organization: the workbench overview, PolyClank documentation and Navier–Stokes research state organize reusable source files, research attempts and check evidence, and identify remaining validation work. This record preserves the corrected 208-page edition together with the seven unchanged files of the earlier 162-page edition; the living workbench records subsequent research. Independent validation of the complete construction remains unfinished. This organization does not certify the mathematical endpoint or assert a prize or personal priority claim. Related research collection: the zeta research reader and its archived reader collection. 30 September 2026 additions Complete new proofs and reproducible sources on GitHub. The finite third return is proved on a definite positive diffusion interval. Its exact similarity transfers the finite return to every radius at fixed positive physical diffusion. The based-state interface, returned affine core, compact correction, complete annulus force, every mixed force derivative, cutoff lower bounds and weighted force-to-state estimate are written in full. The Lemma 10.5 and finite angular Gram reviews and the source-bound review of Claude's spectral and coefficient additions are also supplied. The 121-page control reader is an earlier snapshot, before the latest full-support force and force-to-state sections. Their complete updated LaTeX is in the new research source ZIP. Exact replays and static references pass; compilation of the newest complete reader remains pending at the shared TeX checkpoint. The corrected 208-page analytical reader remains the default readable PDF preview. The modified infinite growing return, all-stage signed force budget, terminal smooth-force extension and complete independent certification of the imported global Navier–Stokes claim remain unfinished. Experimental Everyday English reference The separate experimental ZIP preserves the earlier full-paper draft in PDF, EPUB, HTML and LaTeX and the later unfinished manual source-page-1 draft. It records an attempt to make the paper easier to read. Its success has not been established. The earlier draft was rejected as the basis for a new rewrite; earlier completion and release checks are historical producer decisions, not current acceptance of the experiment. The material is kept for reading, comparison and reference.
Authors
- KokunoYumeto
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-30
- DOI
- https://doi.org/10.5281/zenodo.23056668
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- preprint