On Selective decay states of 2D magnetohydrodynamic flows
The selective decay phenomena has been observed by physicists for many dynamic flows such as Navier-Stoke flows, barotropic geophysical flows, and magnetohydrodynamic (MHD) flows in either actual physical experiments or numerical simulations. Rigorous mathematical works have been carried out for both Navier-Stoke and barotropic geophysical flows. In our previous work, we have rigorously showed the existence of selective states for 2D MHD flows. In this paper, we present a partial result on instability of the selective states.
Discontinuity, Nonlinearity, and Complexity
Digital Object Identifier (DOI)
Zhan. (2015). On Selective Decay States of 2D Magnetohydrodynamic Flows. An Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity, 4(2), 209–218. https://doi.org/10.5890/DNC.2015.06.008