We prove non-uniqueness for a class of weak solutions to the Navier–Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set of singular times with Hausdorff dimension strictly less than 1.
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Tristan Buckmaster, Maria Colombo, Vlad Vicol, Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1. J. Eur. Math. Soc. 24 (2022), no. 9, pp. 3333–3378DOI 10.4171/JEMS/1162