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.File in questo prodotto:
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