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Zbl 1190.35046
Cao, Chongsheng; Wu, Jiahong
Two regularity criteria for the 3D MHD equations.
(English)
[J] J. Differ. Equations 248, No. 9, 2263-2274 (2010). ISSN 0022-0396

Summary: This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one direction while the second one requires suitable boundedness of the derivative of the pressure in one direction.
MSC 2000:
*35B65 Smoothness of solutions of PDE
35B45 A priori estimates
76W05 Flows in presence of electromagnetic forces

Keywords: incompressible MHD equations

Cited in: Zbl pre06163469

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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