The stability of 2D current sheet models of prominences |
| |
| Authors: | A W Longbottom J P Melville A W Hood |
| |
| Institution: | (1) Department of Mathematics, Napier University, EH14 IDJ Edinburgh, Scotland;(2) Mathematical and Computational Sciences Department, University of St. Andrews, KY16 9SS Fife, Scotland;(3) Present address: Department of Mathematics, University of Exeter, EX4 4QE Exeter, UK |
| |
| Abstract: | 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
