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

Kazuo Yamazaki

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

Kazuo Yamazaki

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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 gener- alized to similar active scalars, e.g. the porous media equation.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2013
State	Published - Sep 30 2013

Keywords

Porous media equation
Quasi-geostrophic equation
Regularity criteria

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title = "Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives",

abstract = "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 gener- alized to similar active scalars, e.g. the porous media equation.",

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author = "Kazuo Yamazaki",

year = "2013",

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AU - Yamazaki, Kazuo

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N2 - 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 gener- alized to similar active scalars, e.g. the porous media equation.

AB - 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 gener- alized to similar active scalars, e.g. the porous media equation.

KW - Porous media equation

KW - Quasi-geostrophic equation

KW - Regularity criteria

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M3 - Article

AN - SCOPUS:84885454826

VL - 2013

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

ER -

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

Abstract

Keywords

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