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arXiv · 1803.08096

Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations

Eric Chen
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Abstract

We extend the Caffarelli-Kohn-Nirenberg type partial regularity theory for the steady $5$-dimensional fractional Navier-Stokes equations with external force to the hyperdissipative setting. In our argument we use the methods of Colombo-De Lellis-Massaccesi to apply a blowup procedure adapted from work of Ladyzhenskaya-Seregin.

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Eric Chen. 2018-03-21. Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations. https://doi.org/10.1007/s00220-020-03900-3

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