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Work in progress (draft). Lean 4/Mathlib formalization. Proved unconditionally: H^3 BKM control (periodicBKMHsControl_three) and the periodic BKM criterion (periodicBKMCriterion). Proved conditionally on the named Prop PeriodicBKMIntegrability (open; equivalent in difficulty to Clay Statement (B)): Clay_B_exact via clay_B_exact_of_integrability. Does NOT solve the Clay problem or prove Navier-Stokes regularity. Source: https://github.com/BenFrohman/periodic-ns-classical-continuation at commit 0cd3551.
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Benjamin Frohman (2026) studied this question.
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