On the regularity criteria of a surface quasi-geostrophic equation

Kazuo Yamazaki

doi:10.1016/j.na.2012.04.010

On the regularity criteria of a surface quasi-geostrophic equation

Kazuo Yamazaki

Mathematics and Statistics

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

14 Scopus citations

Abstract

We obtain regularity criteria for a quasi-geostrophic equation that depends more on one direction than the others. In particular, we show that in the critical case, the global regularity depends only on a partial derivative rather than a gradient of the solution.

Original language	English
Pages (from-to)	4950-4956
Number of pages	7
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	75
Issue number	13
DOIs	https://doi.org/10.1016/j.na.2012.04.010
State	Published - Sep 2012

Keywords

Mixed Lebesgue space
Quasi-geostrophic equation
Regularity criteria

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10.1016/j.na.2012.04.010

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title = "On the regularity criteria of a surface quasi-geostrophic equation",

abstract = "We obtain regularity criteria for a quasi-geostrophic equation that depends more on one direction than the others. In particular, we show that in the critical case, the global regularity depends only on a partial derivative rather than a gradient of the solution.",

keywords = "Mixed Lebesgue space, Quasi-geostrophic equation, Regularity criteria",

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KW - Mixed Lebesgue space

KW - Quasi-geostrophic equation

KW - Regularity criteria

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On the regularity criteria of a surface quasi-geostrophic equation

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