Global nonlinear stability is proved for 3D compressible MHD near a background magnetic field with only horizontal velocity dissipation and one-directional magnetic diffusion.
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The authors prove global uniform regularity and vanishing dissipation limits for anisotropic 3D compressible MHD equations near a background magnetic field via a two-tier energy method.
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Nonlinear stability of a background magnetic field for the 3D compressible MHD equations with anisotropic dissipation
Global nonlinear stability is proved for 3D compressible MHD near a background magnetic field with only horizontal velocity dissipation and one-directional magnetic diffusion.
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Global uniform regularity for the 3D compressible MHD equations near a background magnetic field
The authors prove global uniform regularity and vanishing dissipation limits for anisotropic 3D compressible MHD equations near a background magnetic field via a two-tier energy method.