Global Solutions of the Equations of 3D Compressible Magnetohydrodynamics with Zero Resistivity
Abstract
We prove the global-in-time existence of H2 solutions of the equations of compressible magnetohydrodynamics with zero magnetic resistivity in three space dimensions. Initial data are taken to be small in H2 modulo a constant state and initial densities are positive and essentially bounded. The present work generalizes the results obtained by Kawashima.
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