Geodesic
Regularity of solutions to the Navier-Stokes equation
Electronic journal of differential equations, Tome 1999 (1999)
Recently, Beirao da Veiga [15] obtained regularity for the Navier-Stokes equation in $R^{3}$ by imposing conditions on the vorticity rather than the velocity. In this article, we obtain regularity by imposing conditions on only two components of the vorticity vector.
Classification : 35Q35, 76C99
Keywords: Navier-Stokes equations, regularity conditions 
@article{EJDE_1999__1999__a95,
     author = {Chae,  Dongho and Choe,  Hi-Jun},
     title = {Regularity of solutions to the {Navier-Stokes} equation},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0923.35117},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a95/}
}
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Chae,  Dongho; Choe,  Hi-Jun. Regularity of solutions to the Navier-Stokes equation. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a95/