Geodesic
Local regularity for suitable weak solutions of the Navier--Stokes equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 62 (2007) no. 3, pp. 595-614

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A class of conditions sufficient for local regularity of suitable weak solutions of the non-stationary three-dimensional Navier–Stokes equations is discussed. The corresponding results are formulated in terms of functionals invariant with respect to the scaling of the Navier–Stokes equations. The well-known Caffarelli–Kohn–Nirenberg condition is contained in the class as a particular case. 
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     author = {G. A. Seregin},
     title = {Local regularity for suitable weak solutions of the {Navier--Stokes} equations},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {595--614},
     publisher = {mathdoc},
     volume = {62},
     number = {3},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2007_62_3_a8/}
}
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G. A. Seregin. Local regularity for suitable weak solutions of the Navier--Stokes equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 62 (2007) no. 3, pp. 595-614. http://geodesic.mathdoc.fr/item/RM_2007_62_3_a8/