Global Existence for 3D Anisotropic MHD system with Horizontal Dissipation and Small Horizontal Variations

Qiliang Lin, Chenyin Qian, Daoyao Zhou

This paper establishes the global well-posedness for the 3D anisotropic MHD system with partial dissipation: $\hat{I}{”}_{\mathrm{h}}u$ for velocity and ${\partial }_1^{2}b$ for magnetic field, n…