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2011, 2011(Special): 1335-1343. doi: 10.3934/proc.2011.2011.1335

Regularity criteria in weak spaces in terms of the pressure to the MHD equations

Tomoyuki Suzuki 1,

1. 

Department of Mathematics, Kanagawa University, Rokkakubashi, Kanagawa-ku, Yokohama, 221-8686, Japan

Received  July 2010 Revised  August 2010 Published  October 2011

We study regularity of weak solutions to the viscous incompressible magnetohydrodynamic equations in $\mathbb{R}^3 \times (0, T)$. We give regularity criteria for weak solutions in terms of the pressure and the magnetic elds in Lorentz spaces.
Keywords: regularity criterion, MHD equations, Lorentz space.
Mathematics Subject Classification: Primary: 35Q35; Secondary: 76D03, 76W05.
Citation: Tomoyuki Suzuki. Regularity criteria in weak spaces in terms of the pressure to the MHD equations. Conference Publications, 2011, 2011 (Special) : 1335-1343. doi: 10.3934/proc.2011.2011.1335
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