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

Mathematics – Analysis of PDEs

Scientific paper

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15 pages. arXiv admin note: text overlap with arXiv:1110.0053

Scientific paper

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.

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