Solution of Flow Problems in Unidimensional Lagrangian Hydromagnetics

Abstract

A problem of considerable interest in many branches of astrophysics is that of the subsequent behaviour of a current which at an initial time t = 0 is largely concentrated within a given region of an ionized gas of infinite extent. In particular, it has been suggested by Alfvén (1950) that a high current discharge in an ionized gas is likely to constrict because of the electromagnetic attraction' between parallel currents and that this constriction effect may be involved in the formation of solar prominences. Similar considerations may also be of importance in studies of magnetic fields in the spiral arms of the Galaxy.