Global existence of solutions for subcritical quasi-geostrophic equations

May Ramzi; Zahrouni Ezzeddine

doi:10.3934/cpaa.2008.7.1179

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2008, Volume 7, Issue 5: 1179-1191. Doi: 10.3934/cpaa.2008.7.1179

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Global existence of solutions for subcritical quasi-geostrophic equations

May Ramzi^1, and
Zahrouni Ezzeddine^2,

1.
Département de Mathématiques, Faculté des Sciences de Bizerte
2.
Département de Mathématiques, Faculté des Sciences de Monastir

Received: April 30, 2007

Revised: December 31, 2007

Published: August 2008

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Abstract

We prove the persistence of the regularity in the Besov norm spaces for the solutions of the subcritical Quasi-Geostrophic Equations with small size initial data in $\dot B^{-(2\alpha-1),\infty}_\infty$.

Keywords:

Quasi-geostrophic equation,
Besov spaces.

Mathematics Subject Classification: Primary: 35Q35; Secondary: 76B03.

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