Journal
APPLICABLE ANALYSIS
Volume 96, Issue 12, Pages 2140-2148Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2016.1207246
Keywords
MHD equations; regularity criteria; partial derivatives
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In this paper, a logarithmically improved regularity criterion for the incompressible magnetohydrodynamics equation is established in terms of the derivative of the pressure in one direction. It is shown that if the partial derivative of the pressurethen the solution (u,b) remains smooth on Compared to the Navier-Stokes result, there is a logarithmic correction involving b in the denominator. This is an extension of earlier regularity results in the Serrin's type space with 3/2 < lambda <= infinity.
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