Geodesic
On smoothness of suitable weak solutions to the Navier–Stokes equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 34, Tome 306 (2003), pp. 186-198 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier–Stokes equations. One of them implies smoothness of $L_{3,\infty}$-solutions as a particular case. 
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G. A. Seregin; V. Šverak. On smoothness of suitable weak solutions to the Navier–Stokes equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 34, Tome 306 (2003), pp. 186-198. http://geodesic.mathdoc.fr/item/ZNSL_2003_306_a8/

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