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Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations (1803.08096v1)
Published 21 Mar 2018 in math.AP
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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