Magnetic sound and whistler waves, magnetic shocks and vortices in non-homogeneous dusty plasma

A new feature of the magnetic field dynamics in the interstellar medium is discussed. Due to the presence of charged grains strong Hall electric field s arise to support the quasi-neutrality. Magnetized electrons and ions drif ting in the Hall electric field transfer the frozen-in magnetic flux and th e magnetic energy. The drift velocity is much greater than the current velo city and particle displacement in this motion could be of astrophysical sca le. As a result the local "frozen-in" law of the magnetic field in matter i s broken.