Jishan Fan - Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, China (email)
Abstract: We prove some regularity conditions for the MHD equations with partial viscous terms and the Leray-$\alpha$-MHD model. Since the solutions to the Leray-$\alpha$-MHD model are smoother than that of the original MHD equations, we are able to obtain better regularity conditions in terms of the magnetic field $B$ only.
Keywords: MHD equations, regularity
criterion, Leray-$\alpha$-MHD model, interpolation inequality in
Received: April 2008; Revised: January 2009; Available Online: May 2009.
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