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math.AP2022★ 1 cited
Stability and large-time behavior on 3D incompressible MHD equations with partial dissipation near a background magnetic field
Hongxia Lin, Jiahong Wu, Yi Zhu
Physical experiments and numerical simulations have observed a remarkable stabilizing phenomenon: a background magnetic field stabilizes and damps electrically conducting fluids. T…
math.AP2022
Global solutions to 3D incompressible MHD system with dissipation in only one direction
Hongxia Lin, Jiahong Wu, Yi Zhu
The small data global well-posedness of the 3D incompressible Navier-Stokes equations in with only one-directional dissipation remains an outstanding open problem. Th…
math.AP2022
Global well-posedness for 2D non-resistive compressible MHD system in periodic domain
Jiahong Wu, Yi Zhu
This paper focuses on the 2D compressible magnetohydrodynamic (MHD) equations without magnetic diffusion in a periodic domain. We present a systematic approach to establishing the…