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- W4309047376 abstract "Whether or not smooth solutions to the 3D compressible magnetohydrodynamic (MHD) equations without magnetic diffusion are always global in time remains an extremely challenging open problem. No global well-posedness or stability result is currently available for this 3D MHD system in the whole space $mathbb R^3$ or the periodic box $mathbb T^3$ even when the initial data is small or near a steady-state solution. This paper presents a global existence and stability result for smooth solutions to this 3D MHD system near any background magnetic field satisfying a Diophantine condition." @default.
- W4309047376 created "2022-11-21" @default.
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- W4309047376 date "2022-11-11" @default.
- W4309047376 modified "2023-09-23" @default.
- W4309047376 title "Global small solutions to the 3D compressible viscous non-resistive MHD system" @default.
- W4309047376 doi "https://doi.org/10.48550/arxiv.2211.06231" @default.
- W4309047376 hasPublicationYear "2022" @default.
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