Geodesic
Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives
Electronic journal of differential equations, Tome 2013 (2013)
We study the two-dimensional beta-generalized supercritical quasi-geostrophic equation, and in particular show that to obtain global regularity results, one needs to bound only its partial derivative. Results may be generalized to similar active scalars, e.g. the porous media equation.
Classification : 35B65, 35Q35, 35Q86
Keywords: quasi-geostrophic equation, porous media equation, regularity criteria 
@article{EJDE_2013__2013__a139,
     author = {Yamazaki,  Kazuo},
     title = {Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1288.35151},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a139/}
}
TY  - JOUR
AU  - Yamazaki,  Kazuo
TI  - Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives
JO  - Electronic journal of differential equations
PY  - 2013
VL  - 2013
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a139/
LA  - en
ID  - EJDE_2013__2013__a139
ER  - 
%0 Journal Article
%A Yamazaki,  Kazuo
%T Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a139/
%G en
%F EJDE_2013__2013__a139
Yamazaki,  Kazuo. Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a139/