The 2D MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion ()
ABSTRACT
In this paper, we study the global regularity of the classical solution of the 2
D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic dissipation. We show that any solution of the second component (u
2, b
2) has a global L
2r -bound, where r satisfies
and the boundary does not grow faster than
as r increases.
Share and Cite:
Yang, X. (2019) The 2
D MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion.
American Journal of Computational Mathematics,
9, 81-96. doi:
10.4236/ajcm.2019.92007.
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