Geodesic
Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives
Electronic Journal of Differential Equations, Tome 2013 (2013).

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

Summary: 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__a39,
     author = {Yamazaki, Kazuo},
     title = {Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a39/}
}
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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__a39/