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LOGARITHMICALLY IMPROVED REGULARITY CRITERIA FOR THE GENERALIZED NAVIER-STOKES AND RELATED EQUATIONS
Journal article

LOGARITHMICALLY IMPROVED REGULARITY CRITERIA FOR THE GENERALIZED NAVIER-STOKES AND RELATED EQUATIONS

Jishan Fan, Yasuhide Fukumoto, Yong Zhou and Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang
Kinetic & related models, Vol.6(3), pp.545-556
2013
DOI: https://doi.org/10.3934/krm.2013.6.545

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, logarithmically improved regularity criteria for the generalized Navier-Stokes equations are established in terms of the velocity, vorticity and pressure, respectively. Here BMO, the Triebel-Lizorkin and Besov spaces are used, which extend usual Sobolev spaces much. Similar results for the quasi-geostrophic flows and the generalized MHD equations are also listed.

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