The decomposition of a decelerationg ionizing shock

The equations governing the collapse of a cylindrical, ionizing shock in an applied axial magnetic field are solved numerically using a method involving characteristics. Initially the collapsing shock accelerates, but subsequently the increasing magnetic forces at the shock produce a retardation and this cools the gas behind the shock. The numerical solution describes the behaviour of the shock until the gas behind ceases to conduct. The decomposition of the ionizing shock is examined.