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Global existence and analyticity of solution for the generalized Hall‐magnetohydrodynamics system

We investigate the global existence and analyticity of mild solution to the three‐dimensional generalized Hall‐magnetohydrodynamics (MHD) system in this work. We prove the global existence and analyticity of solutions in the corresponding critical spaces. The work extends global existence and analyticity of solutions to Hall‐MHD system in Duan and MHD system in Wang and Ye and Zhao, to the generalized Hall‐MHD system with 1/2 ≤ α,β ≤ 1.