Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Plasmas
4 (1997), S. 1201-1212
ISSN:
1089-7674
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The stability properties of an ideal magnetohydrodynamic (MHD) fluid (compressible) in an arbitrary state of motion is explored. A stability condition is formulated in general terms based on the concept of a Lyapunov functional for the system which can be taken to be the Hamiltonian. Special consideration is given to stationary systems where the fluid is bounded by a surface on which the normal component of the fluid velocity is zero. For this case a necessary and sufficient condition for stability in terms of an energy principle is formulated. This can be considered to be a generalization of the classic MHD energy principle. A comparison to normal mode solutions is made. Systems being subjected to forced oscillations around a static equilibrium that may be unstable are of prime interest for dynamic stabilization problems. The present theory also includes results relevant to this type of system, although no details of such problems are presented. The emphasis is on general theory, however, one example of an ordinary fluid which is rotating is discussed in order to get a better understanding of the theoretical results. © 1997 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.872300
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