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arXiv · 1202.4081

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

Anthony Suen
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Abstract

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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Anthony Suen. 2012-02-18. Global Solutions of the Equations of 3D Compressible Magnetohydrodynamics with Zero Resistivity. https://arxiv.org/abs/1202.4081

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