Geodesic
Regularity of generalized Navier-Stokes equations in terms of direction of the velocity
Electronic journal of differential equations, Tome 2010 (2010)
Zbl   EuDML
In this article, the author studies the regularity of 3D generalized Navier-Stokes (GNS) equations with fractional dissipative terms

$ \frac{2 \alpha}{p} + \frac{3}{q} \leq 2 \alpha - \frac{3}{2},\quad \frac{6}{4 \alpha-3} q \leq \infty . $

then any smooth on GNS in $[0,T)$ remains smooth on $[0, T]$.
Classification : 35D10, 35Q35, 76D03
Keywords: generalized Navier-Stokes equation, regularity, serrin criteria 
Luo,  Yuwen. Regularity of generalized Navier-Stokes equations in terms of direction of the velocity. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a172/
@article{EJDE_2010__2010__a172,
     author = {Luo,  Yuwen},
     title = {Regularity of generalized {Navier-Stokes} equations in terms of direction of the velocity},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1195.35081},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a172/}
}
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