Abstract
There exists a functionu satisfying (1)u is a weak solution to the Navier-Stokes equations of incompressible fluid flow in three-space with an external force that reduces the speed at every point, (2) the internal singularities ofu have Hausdorff dimension close to 1.
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Communicated by C. H. Taubes
The author was supported in part by a Sloan Foundation Fellowship
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Scheffer, V. Nearly one dimensional singularities of solutions to the Navier-Stokes inequality. Commun.Math. Phys. 110, 525–551 (1987). https://doi.org/10.1007/BF01205547
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DOI: https://doi.org/10.1007/BF01205547