Title 



Linear and nonlinear stability analysis for twodimensional ideal magnetohydrodynamics with incompressible flows
 
Author 



 
Abstract 



The equilibrium and Lyapunov stability properties for twodimensional ideal magnetohydrodynamic (MHD) plasmas with incompressible and homogeneous (i.e., constant density) flows are investigated. In the unperturbed steady state, both the velocity and magnetic field are nonzero and have three components in a Cartesian coordinate system with translational symmetry (i.e., one ignorable spatial coordinate). It is proved that (a) the solutions of the ideal MHD steady state equations with incompressible and homogeneous flows in the plane are also valid for equilibria with the axial velocity component being a free flux function and the axial magnetic field component being a constant, (b) the conditions of linearized Lyapunov stability for these MHD flows in the planar case (in which the fields have only two components) are also valid for symmetric equilibria that have a nonplanar velocity field component as well as a nonplanar magnetic field component. On. using the method of convexity estimates, nonlinear stability conditions are established. (C) 2005 American Institute of Physics.   
Language 



English
 
Source (journal) 



Physics of plasmas.  Woodbury, N.Y.  
Publication 



Woodbury, N.Y. : 2005
 
ISSN 



1070664X
 
Volume/pages 



12:1(2005), p. 110
 
Article Reference 



012316
 
ISI 



000226864500025
 
Medium 



Eonly publicatie
 
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