Courant, R. and Hilbert, D. (2008) Methods of Mathematical Physics: Partial Differential Equations. John Wiley & Sons, Hoboken.

has been cited by the following article:

• TITLE: The 2D MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion

  AUTHORS: Xiaoting Yang

  KEYWORDS: MHD Equation, Global Regularity, Vertical Dissipation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.9 No.2, June 26, 2019

  ABSTRACT: 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 thanas r increases.