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2011 Regularity Criteria for the Generalized Magnetohydrodynamic Equations and the Quasi-geostrophic Equations
Jishan Fan, Hongjun Gao, Gen Nakamura
Taiwanese J. Math. 15(3): 1059-1073 (2011). DOI: 10.11650/twjm/1500406284

Abstract

In this paper we consider the Cauchy problem for the 3D generalized magnetohydrodynamic (MHD) equations and the quasi-geostrophic (QG) equations. We prove some new regularity criteria for weak solutions.

Citation

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Jishan Fan. Hongjun Gao. Gen Nakamura. "Regularity Criteria for the Generalized Magnetohydrodynamic Equations and the Quasi-geostrophic Equations." Taiwanese J. Math. 15 (3) 1059 - 1073, 2011. https://doi.org/10.11650/twjm/1500406284

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1236.35120
MathSciNet: MR2829897
Digital Object Identifier: 10.11650/twjm/1500406284

Subjects:
Primary: 35Q35 , 76D05

Keywords: generalized MHD equations , multiplier spaces , quasi-geostrophic equations , Regularity criteria

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 3 • 2011
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