text: Rankine–Hugoniot conditions in magnetohydrodynamics are interesting to consider since they very relevant to astrophysical applications. Across the discontinuity the normal component  of the magnetic field  and the tangential component  of the electric field  (infinite conductivity limit) must be continuous. We thus have
  where  difference between the values of any physical quantity on the two sides of discontinuity. The remaining conditions are given by
  These conditions are general in the sense that they include contact discontinuities () tangential discontinuities (), rotational or Alfvén discontinuities () and shock waves ().