Regularity of weak solutions to the magneto-hydrodynamics equations in terms of the direction of velocity
In this article, we study the regularity of weak solutions to the 3D incompressible magneto-hydrodynamics equations. We obtain a new class of regularity criteria in terms of the direction of the velocity. Our result extend some results known for incompressible Navier-Stokes equations.
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| Format: | Article |
| Language: | English |
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Texas State University
2009-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/132/abstr.html |
| Summary: | In this article, we study the regularity of weak solutions to the 3D incompressible magneto-hydrodynamics equations. We obtain a new class of regularity criteria in terms of the direction of the velocity. Our result extend some results known for incompressible Navier-Stokes equations. |
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| ISSN: | 1072-6691 |