The 2iD/iMHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion

摘要

In this paper, we study the global regularity of the classical solution of the 2D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic dissipation. We show that any solution of the second component (u2, b2) has a global L2r -bound, where r satisfies and the boundary does not grow faster than??as r increases.