Geodesic
Estimates of suitable weak solutions to the Navier--Stokes equations in critical Morrey spaces
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 37, Tome 336 (2006), pp. 199-210

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We prove some estimates for suitable weak solutions to the nonstationary three-dimensional Navier–Stokes equations under assumptions that certain invariant functionals of the velocity field are bounded. 
@article{ZNSL_2006_336_a8,
     author = {G. A. Seregin},
     title = {Estimates of suitable weak solutions to the {Navier--Stokes} equations in critical {Morrey} spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {199--210},
     publisher = {mathdoc},
     volume = {336},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_336_a8/}
}
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G. A. Seregin. Estimates of suitable weak solutions to the Navier--Stokes equations in critical Morrey spaces. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 37, Tome 336 (2006), pp. 199-210. http://geodesic.mathdoc.fr/item/ZNSL_2006_336_a8/