Discontinuity, Nonlinearity, and Complexity
On Selective Decay States of 2D Magnetohydrodynamic Flows
Discontinuity, Nonlinearity, and Complexity 4(2) (2015) 209218  DOI:10.5890/DNC.2015.06.008
MeiQin Zhan
Department of Mathematics and Statistics, University of North Florida, Jacksonville, FL32224, USA
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Abstract
The selective decay phenomena has been observed by physicists for many dynamic flows such as NavierStoke 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 NavierStoke 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.
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