Geodesic
Regularity of generalized Navier-Stokes equations in terms of direction of the velocity
Electronic journal of differential equations, Tome 2010 (2010)
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 
@article{EJDE_2010__2010__a72,
     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__a72/}
}
TY  - JOUR
AU  - Luo,  Yuwen
TI  - Regularity of generalized Navier-Stokes equations in terms of direction of the velocity
JO  - Electronic journal of differential equations
PY  - 2010
VL  - 2010
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a72/
LA  - en
ID  - EJDE_2010__2010__a72
ER  - 
%0 Journal Article
%A Luo,  Yuwen
%T Regularity of generalized Navier-Stokes equations in terms of direction of the velocity
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a72/
%G en
%F EJDE_2010__2010__a72
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__a72/