Article ID Journal Published Year Pages File Type
4622725 Journal of Mathematical Analysis and Applications 2007 5 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis