Geodesic
Boundary partial regularity for the Navier--Stokes equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Tome 310 (2004), pp. 158-190

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We prove two conditions of local Hölder continuity for suitable weak solutions to the Navier–Stokes equations near the smooth curved part of the boundary of a domain. One of these condition has the form of the Caffarelli–Kohn–Nirenberg condition for the local boundedness of suitable weak solutions at the interior points of the space-time cylinder. The corresponding results near the plane part of the boundary were established earlier by G. Seregin. 
@article{ZNSL_2004_310_a8,
     author = {G. A. Seregin and T. N. Shilkin and V. A. Solonnikov},
     title = {Boundary partial regularity for the {Navier--Stokes} equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {158--190},
     publisher = {mathdoc},
     volume = {310},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_310_a8/}
}
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G. A. Seregin; T. N. Shilkin; V. A. Solonnikov. Boundary partial regularity for the Navier--Stokes equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Tome 310 (2004), pp. 158-190. http://geodesic.mathdoc.fr/item/ZNSL_2004_310_a8/