Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives

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.

Detalhes bibliográficos

Autor principal:	Kazuo Yamazaki
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Texas State University 2013-09-01
coleção:	Electronic Journal of Differential Equations
Assuntos:	Quasi-geostrophic equation porous media equation regularity criteria
Acesso em linha:	http://ejde.math.txstate.edu/Volumes/2013/217/abstr.html
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