Geodesic
On the smallness of the (possible) singular set in space for 3D Navier-Stokes equations
Electronic Journal of Differential Equations, Tome 1999 (1999).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We utilize $L^\infty$ estimates on the complexified solutions of 3D Navier-Stokes equations via a plurisubharmonic measure type maximum principle to give a short proof of the fact that the Hausdorff dimension of the (possible) singular set in space is less or equal 1 assuming chaotic, Cantor set-like structure of the blow-up profile.
Classification : 35Q30, 76D03
Keywords: Navier-Stokes equations, singular set, turbulence 
@article{EJDE_1999__1999__a30,
     author = {Gruji\'c, Zoran},
     title = {On the smallness of the (possible) singular set in space for {3D} {Navier-Stokes} equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a30/}
}
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Grujić, Zoran. On the smallness of the (possible) singular set in space for 3D Navier-Stokes equations. Electronic Journal of Differential Equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a30/