Title: The eigenfrequency spectrum of linear magnetohydrodynamic perturbations in stationary equilibria: A variational principle
Authors: Andries, Jesse # ×
Issue Date: Nov-2010
Publisher: American Institute of Physics
Series Title: Physics of Plasmas vol:17 issue:11 pages:-
Article number: andries2010
Abstract: The frequencies of the normal modes of oscillation of linear magnetohydrodynamic perturbations of a stationary equilibrium are related to the stationary points of a quadratic functional over the Hilbert space of Lagrangian displacement vectors, which is subject to a constraint In the absence of a background flow (or of a uniform flow), the relation reduces to the well-known Rayleigh-Ritz variational principle In contrast to the existing variational principles for perturbations of stationary equilibria, the present treatment does neither impose additional symmetry restrictions on the equilibrium, nor does it involve the generalization to bilinear functionals instead of quadratic forms This allows a more natural interpretation of the quadratic forms as energy functionals (C) 2010 American Institute of Physics [doi 10 1063/1 3505095]
ISSN: 1070-664X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Plasma-astrophysics Section
× corresponding author
# (joint) last author

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