In this work, we investigate the regularity criterion for the solution of the Hall-MHD system in three-dimensions. It is proved that if the pressure and the gradient of magnetic field rB satisfies some kind of space-time integrable condition on [0; T], then the corresponding solution keeps smoothness up to time T.

A regularity criterion of smooth solution for the 3D viscous Hall-MHDequations

M. A. Ragusa
2018

Abstract

In this work, we investigate the regularity criterion for the solution of the Hall-MHD system in three-dimensions. It is proved that if the pressure and the gradient of magnetic field rB satisfies some kind of space-time integrable condition on [0; T], then the corresponding solution keeps smoothness up to time T.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/360968
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