Global Solutions of the Equations of 3D Compressible   Magnetohydrodynamics with Zero Resistivity
  We prove the global-in-time existence of H^2 solutions of the equations of compressible magnetohydrodynamics with zero magnetic resistivity in three space dimensions. Initial data are taken to be small in H^2 modulo a constant state and initial densities are positive and essentially bounded. The present work generalizes the results obtained by Kawashima. 
Anthony Suen
math.AP