Selective decay principle for 2D magnetohydrodynamic flows

Abstract

The selective decay phenomena has been observed by physicists for many dynamic flows such as Navier-Stokes flows, barotropic geophysical flows, and magnetohydrodynamic (MHD) flows in either actual physical experiments or numeri- cal simulations. Rigorous mathematical works have been carried out for both Navier-Stokes and barotropic geophysical flows. It is the goal of this paper to verify the selective decay principle mathematically for the 2D magnetohydrodynamic (MHD) flows.