Regularity Criteria for the Generalized MHD Equations

This paper derives regularity criteria for the generalized magnetohydrodynamics (MHD) equations, a system of equations resulting from replacing the Laplacian −Δ in the usual MHD equations by a fractional Laplacian (−Δ) α . These criteria impose assumptions on the velocity field u alone and sharpen a...

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Bibliographic Details
Published in:Communications in partial differential equations 2008-01, Vol.33 (2), p.285-306
Main Author: Wu, Jiahong
Format: Article
Language:English
Subjects:
Besov space
Generalized MHD equations
Regularity criteria
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Summary:This paper derives regularity criteria for the generalized magnetohydrodynamics (MHD) equations, a system of equations resulting from replacing the Laplacian −Δ in the usual MHD equations by a fractional Laplacian (−Δ) α . These criteria impose assumptions on the velocity field u alone and sharpen a result of He and Xin ( 2005 ). In addition, these criteria apply to the incompressible Navier-Stokes equations and improve some existing results.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605300701382530