Remarks on partial regularity for suitable weak solutions of the incompressible magnetohydrodynamic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Jiu, Quansen¹  Wang, Yanqing¹ 

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

关键词: Magnetohydrodynamic equations;    Partial regularity;    De Giorgi iteration;   

DOI  :  10.1016/j.jmaa.2013.07.052

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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