Weak discontinuities in magneto-gasdynamics with finite electrical conductivity

Following Elcrat6] the phenomena associated with the weak discontinuities in inviscid non-heat conducting gas with finite electrical conductivity have been studied here. The differential equations for growth and decay of weak discontinuities have been formulated. In order to integrate them in full generality they are transformed to an equation along the bi-characteristic curve in the characteristic manifold Σ = US(t). These equations have been solved completely. The criteria for decay or “blow up” of weak discontinuities are given. The role of finite electrical conductivity is to cause damping.