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We prove the global-in-time existence of H^2 solutions of the equations ofcompressible magnetohydrodynamics with zero magnetic resistivity in three spacedimensions. Initial data are taken to be small in H^2 modulo a constant stateand initial densities are positive and essentially bounded. The present workgeneralizes the results obtained by Kawashima.

Global Solutions of the Equations of 3D Compressible Magnetohydrodynamics with Zero Resistivity