(1) Introduction.-The electromagnetodynamics of fluids combines the dynamics of fluids and electromagnetic theory. It has been independently developed in two theories: magnetohydrodynamics and electrohydrodynamics, depending upon the properties of the fluid considered and the prevalence of either magnetic fields or electric fields. The space permitted here forbids us from going into any apprais...

1 Introduction Magnetohydrodynamics (MHD) is concerned with the dynamics of fluids that are good conductors of electricity, and specifically with those effects that arise through the interaction of the motion of the fluid and any ambient magnetic field B(x, t) that may be present. Such a field is produced by electric current sources which may be either external to the fluid (in which case we ma...

We use the Hopf mapping to construct a magnetic configuration consisting of closed field lines, each of which is linked with all the other ones. We obtain in this way a solution of the equations of magnetohydrodynamics of an ideal incompressible fluid with infinite conductivity, which describes a localized topological soliton.

We apply the recently established connection between nonlinear fluid dynamics and AdS gravity to the case of the dyonic black brane in AdS4. This yields the equations of fluid dynamics for a 2 + 1 dimensional charged fluid in a background magnetic field. We construct the gravity solution to second order in the derivative expansion. From this we find the fluid dynamical stress tensor and charge ...

We formulate axion-electrodynamics and magnetohydrodynamics (MHD) in the cosmological context assuming weak gravity. The two formulations are made for a general scalar field with $f(\ensuremath{\phi})$-coupling, an axion as massive ${\ensuremath{\phi}}^{2}$-coupling, helical electromagnetic field. $\ensuremath{\alpha}$-dynamo term appears naturally from coupling MHD formulation. In presence of ...