Work in progress: A Lean 4 Formalization of the Classical Continuation Chain for Periodic Navier-Stokes on T^3: Energy Identity, H^3 Commutator Reduction and the BKM Route

Work in progress (draft). Companion paper to the Lean 4/Mathlib repository. Proved unconditionally: H^3 BKM control and the periodic BKM criterion. Clay Statement (B) is proven only conditionally on the open named Prop PeriodicBKMIntegrability. Does NOT solve the Clay problem or prove Navier-Stokes regularity. Source: https://github.com/BenFrohman/periodic-ns-classical-continuation at commit b27a077. Sibling reduction paper: 10.5281/zenodo.23842296. © 2026 Benjamin Stanley Frohman (ORCID 0009-0006-7068-3718). Licensed under Apache-2.0.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-31
DOI
https://doi.org/10.5281/zenodo.23842556
Primary Topic
Navier-Stokes equation solutions
Type
preprint
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preprint

Work in progress: A Lean 4 Formalization of the Classical Continuation Chain for Periodic Navier-Stokes on T^3: Energy Identity, H^3 Commutator Reduction and the BKM Route

Benjamin Frohman
Zenodo (CERN European Organization for Nuclear Research)
Navier-Stokes equation solutions
preprint

Work in progress: A Lean 4 Formalization of the Classical Continuation Chain for Periodic Navier-Stokes on T^3: Energy Identity, H^3 Commutator Reduction and the BKM Route

Benjamin Frohman
preprint en

Abstract

Work in progress (draft). Companion paper to the Lean 4/Mathlib repository. Proved unconditionally: H^3 BKM control and the periodic BKM criterion. Clay Statement (B) is proven only conditionally on the open named Prop PeriodicBKMIntegrability. Does NOT solve the Clay problem or prove Navier-Stokes regularity. Source: https://github.com/BenFrohman/periodic-ns-classical-continuation at commit b27a077. Sibling reduction paper: 10.5281/zenodo.23842296. © 2026 Benjamin Stanley Frohman (ORCID 0009-0006-7068-3718). Licensed under Apache-2.0.

Zenodo (CERN European Organization for Nuclear Research)
Navier-Stokes equation solutions
DOIOpen Access PDFOpenAlex
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Work in progress: A Lean 4 Formalization of the Classical Continuation Chain for Periodic Navier-Stokes on T^3: Energy Identity, H^3 Commutator Reduction and the BKM Route — Benjamin Frohman · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS