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Discontinuity, Nonlinearity, and Complexity 4(2) (2015) 209--218 | DOI:10.5890/DNC.2015.06.008

Mei-Qin 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 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.

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