Computer Science – Numerical Analysis
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994soph..149...73l&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 149, no. 1, p. 73-92
Computer Science
Numerical Analysis
4
Current Sheets, Magnetohydrodynamic Stability, Potential Fields, Solar Corona, Solar Magnetic Field, Solar Prominences, Stability, Stellar Models, Two Dimensional Models, Differential Equations, Electric Current, Equilibrium Equations, Magnetic Field Configurations, Numerical Analysis
Scientific paper
A necessary and sufficient condition for the ideal magnetohydrodynamic stability of 2D current sheet models of prominences suspended in a potential coronal field with line-tying is developed using the energy method. This condition takes the form of two simple coupled second-order differential equations which may be integrated along a field line to find marginal stability. The two conditions (85) and (86) of Anzer (1969) are now only sufficient for stability. Two current sheet models are investigated and it is shown that for a potential coronal field allowing perturbed electric currents to flow, line-tying can completely stabilize the equilibria for realistic heights.
Hood Alan William
Longbottom Aaron W.
Melville J. P.
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