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

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arxiv 1809.00600 v2 pith:QSYCT2RZ submitted 2018-09-03 math.AP

Tristan Buckmaster , Maria Colombo , Vlad Vicol This is my paper · ORCID
classification math.AP
keywords dimensionequationshausdorfflessnavier-stokessingularsolutionsstrictly
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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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  1. Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations

    math.AP 2019-08 accept novelty 6.0 of 10

    Every 2D hypoviscous Navier-Stokes system with fractional Laplacian exponent theta below 1 admits nonunique C^0_t L^2_x weak solutions, including solutions with compact temporal support.

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