Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622725 | Journal of Mathematical Analysis and Applications | 2007 | 5 Pages |
Abstract
In this paper, we study the regularity criterion for weak solutions to the incompressible magnetohydrodynamic equations. We derive the regularity of weak solutions in the marginal class. Moreover, our result demonstrates 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.
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Analysis