Geodesic
Remark on regularity of weak solutions to the Navier-Stokes equations
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 111-117.

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Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space $L^2(0,T,W^{1,3}(\varOmega)^3)$ are regular.
Classification : 35D10, 35Q10, 35Q30, 76D03, 76D05, 76F99
Keywords: Navier-Stokes equations; weak solution; regularity 
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     title = {Remark on regularity of weak solutions to the {Navier-Stokes} equations},
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Skalák, Zdeněk; Kučera, Petr. Remark on regularity of weak solutions to the Navier-Stokes equations. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 111-117. http://geodesic.mathdoc.fr/item/CMUC_2001__42_1_a7/