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On the regularity criteria for weak solutions to the magnetohydrodynamic equations

Author:
Cheng He   Yun Wang  


Journal:
Journal of Differential Equations


Issue Date:
2007


Abstract(summary):

We study the regularity criteria for weak solutions to the incompressible magnetohydrodynamic equations. Some regularity criteria are obtained for weak solutions to the magnetohydrodynamic equations, which generalize the results in [C. He, Z. Xin, On the regularity of solutions to the magneto-hydrodynamic equations, J. Differential Equations 213 (2) (2005) 235-254]. Our results reveal that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solutions to the magnetohydrodynamic equations. [All rights reserved Elsevier].


Page:
1-17


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