Title
Variational principles and stability criteria for two-dimensional, gravitating, ideal magnetohydrodynamic configurations Variational principles and stability criteria for two-dimensional, gravitating, ideal magnetohydrodynamic configurations
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Subject
Physics
Source (journal)
Il Nuovo cimento della societÓ italiana di fisica : B: General physics, relativity, astronomy and mathematical physics and methods. - -, 1985 - 2008
Volume/pages
121(2006) :9 , p. 995-1004
ISSN
1594-9982
1826-9877
ISI
000247568700008
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In previous papers we derived sufficient conditions for linear stability of spherically symmetric and spherical, axisymmetric, gravitating configurations in ideal magnetohydrodynamics by using the general theory of Arnold and Vladimirov et al. The same general theory is now used to deduce sufficient conditions for linear stability of two-dimensional gravitating configurations with perpendicular magnetic field. Again a helpful analogy between two-dimensional magnetohydrodynamic flows subjected to a self-gravitating force field (or a pseudo-gravitating one) and flows of stratified fluids in the Vladimirov-Boussinesq approximation is obtained. A "modified vorticity field" is considered which turns out to be an additional frozen-in field like the vector potential of the magnetic field. This allows to construct a general Casimir functional. From the latter a linear stability criterion is obtained.
E-info
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000247568700008&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000247568700008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
Handle