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Regularity of asymptotically axisymmetric Navier–Stokes solutions with analytic forcing

Scott Armstrong, Vlad Vicol

Palomar Registrypalomar/PALOMAR-2026-10-03-000004Oct 3, 2026math.APscore 0

A Lean 4 / Mathlib formalization of the main results of Constantin, Ignatova and Vicol on the regularity of asymptotically axisymmetric solutions of the three-dimensional Navier-Stokes equations with analytic forcing (arXiv:2609.20803). A suitable weak solution on the unit parabolic cylinder, smooth before the blow-up time, whose force is bounded in C^2 up to the blow-up time and real analytic in space, whose angular mean satisfies anisotropic Type II bounds, and which is exactly axisymmetric on a ball around the axis at every time, is axisymmetric and regular at the putative singular point…

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