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Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1

Tristan Buckmaster, Maria Colombo, Vlad Vicol

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Source: Crossref

Published: Oct 25, 2021

DOI: 10.4171/jems/1162

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Source abstract

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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Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1 — Mathematical Frontier Network