A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
The 2D MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion
2019
American Journal of Computational Mathematics
Preserved Fulltext
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 ( ) , u b has a global 2r L -bound, where r satisfies 1 r ≤ < ∞ and the boundary does not grow faster than log r r as r increases.
doi:10.4236/ajcm.2019.92007
fatcat:7q3pmnkqxravzc5z3fhopm7ej4