In this paper, we consider sufficient conditions for the regularity of Leray-Hopf solutions of the 3D incompressible magnetohydrodynamic equations via two components of the velocity and magnetic fields in terms of BMO spaces. We prove that if ũ,b̃ belongs to the space L20,T;BMOR3, then the solution (u,b) is regular. This extends recent results contained by Gala, Ji E and Lee J.
On the regularity criteria for the 3D magnetohydrodynamic equations via two components in terms of BMO space.
RAGUSA, Maria Alessandra
2014-01-01
Abstract
In this paper, we consider sufficient conditions for the regularity of Leray-Hopf solutions of the 3D incompressible magnetohydrodynamic equations via two components of the velocity and magnetic fields in terms of BMO spaces. We prove that if ũ,b̃ belongs to the space L20,T;BMOR3, then the solution (u,b) is regular. This extends recent results contained by Gala, Ji E and Lee J.File in questo prodotto:
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