Sui moti di Beltrami-Caldonazzo in magnetofluidodinamica
In this paper we extend to Plasma Mechanics the study of the hydrodynamic steady motions in which the streamlines are circular helixes. The plasma is described by the magnetofïuiddynamic equations with the Hall effect. Velocity and magnetic fields (and, in correspondence, the pressure field) that make such motions possible are determined. So a class of exact solutions of the magnetofïuiddynamic equations with the Hall effect is pointed out.
This paper studies the magnetodynamic equilibrium of a radiative, infinitely conducting plasma, undergoing both a rotation motion around a symmetry axis and a motion in the meridian plans. It is assumed that on plasma acts its own gravitation. In the first nota the plasma is considered incompressible; for such a plasma the approximation of a perfect gas is valid.
This paper studies the magnetodynamic equilibrium of a radiative, infinitely conducting plasma, undergoing both a rotation motion around a symmetry axis and a motion in the meridian plans. It is assumed that on plasma acts its own gravitation. In the second note the plasma is supposed to be polytropic and compressible. The stability criterion of such a splasma is also obtained.