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• W3164668838 abstract "In this note we investigate Liouville type theorems for the steady three dimensional MHD and Hall-MHD equations, and show that the velocity field $u$ and the magnetic field $B$ are vanishing provided that $Bin L^{6,infty}(mathbb{R}^3)$ and $uin BMO^{-1}(mathbb{R}^3)$, which state that the velocity field plays an important role. Moreover, the similar result holds in the case of partial viscosity or diffusivity for the three dimensional MHD equations." @default.
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• W3164668838 date "2021-12-10" @default.
• W3164668838 modified "2023-10-13" @default.
• W3164668838 title "Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations" @default.
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• W3164668838 doi "https://doi.org/10.1007/s00332-021-09768-4" @default.
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