Geodesic
A note on local boundary regularity for the Stokes system
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Tome 370 (2009), pp. 151-159 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper, local boundary regularity of weak solutions to the non-stationary Stokes system is studied. Under reasonable conditions, existence of the first derivative in time and the second spatial derivatives of the the velocity field and their higher integrability with respect to spatial variables are proved. Bibl. – 3 titles. 
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     author = {G. A. Seregin},
     title = {A note on local boundary regularity for the {Stokes} system},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_370_a8/}
}
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G. A. Seregin. A note on local boundary regularity for the Stokes system. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Tome 370 (2009), pp. 151-159. http://geodesic.mathdoc.fr/item/ZNSL_2009_370_a8/

[1] G. A. Seregin, “Some estimates near the boundary for solutions to the nonstationary linearized Navier–Stokes equations”, Zap. Nauchn. Semin. POMI, 271, 2000, 204–223 | MR | Zbl

[2] G. Seregin, “Local regularity theory of the Navier–Stokes equations”, Handbook of Mathematical Fluid Mechanics, vol. 4, eds. Friedlander, D. Serre, North-Holland, Amsterdam, 2007, 159–200 | DOI

[3] “Local regularity of suitable weak solutions to the Navier–Stokes equations near the boundary”, J. Math. Fluid Mech., 4:1 (2002), 1–29 | DOI | MR