Local Regularity of Suitable Weak Solutions to the Navier—Stokes Equations Near the Boundary
- Cite this article as:
- Seregin, G. J. math. fluid mech. (2002) 4: 1. doi:10.1007/s00021-002-8533-z
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We prove a condition of local Hölder continuity for suitable weak solutions to the Navier—Stokes equations near the plane boundary. This condition has the form of the Caffarelli—Kohn—Nirenberg condition for local boundedness of suitable weak solutions at the interior points of the space-time cylinder.