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arxiv: 0903.2577 · v2 · submitted 2009-03-14 · 🧮 math.AP

Two regularity criteria for the 3D MHD equations

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keywords criteriaderivativeequationsone-directionregularityboundednessestablishesfield
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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.

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