Article ID Journal Published Year Pages File Type
4616446 Journal of Mathematical Analysis and Applications 2014 14 Pages PDF
Abstract
In this paper, we are concerned with the partial regularity for suitable weak solutions of the tri-dimensional magnetohydrodynamic equations. With the help of the De Giorgi iteration method, we obtain the results proved by He and Xin (C. He, Z. Xin, Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations, J. Funct. Anal. 227 (2005) 113-152), namely, the one dimensional parabolic Hausdorff measure of the possible singular points of the velocity field and the magnetic field is zero.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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