Abstract
The mathematical model is proposed of the magnetic tornado in magnetohydrodynamic plasma. This model is based on the equations of mechanics of continua and the Maxwell electrodynamics. Two specific examples are considered to study the cross-effect of the plasma and magnetic field dynamics, which may result in the occurrence of the magnetic tornado. The plasma-magnetic field interaction is of particular interest in the case of the ideal plasma motion along the magnetic field lines. In this case, the studies of the magnetic tornado can be reduced to the purely hydrodynamic consideration of the tornado occurrence in atmospheric air. The relevant numerical results obtained theoretically confirm the existence of vortex formations identified with the magnetic super-tornados observed in the chromosphere of the solar plasma.
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