%A Baoying Du,Jinxing Liu %T Global Regularity for the Incompressible 3D Hall-Magnetohydrodynamics with Partial Dissipation %0 Journal Article %D 2022 %J Acta mathematica scientia,Series A %R %P 1754-1767 %V 42 %N 6 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_16890.shtml} %8 2022-12-26 %X

In this paper, we study the incompressible 3D Hall-magnetohydrodynamic equations with partial dissipation, by the special property of the energy estimate in term of Sobolev norm, we obtain the local existence of classical solutions for large initial data. We also prove the global existence of the classical solutions, the smallness conditions of which are given by the suitable Sobolev norms.