Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981a%26a....97..232v&link_type=abstract
Astronomy and Astrophysics, vol. 97, no. 2, Apr. 1981, p. 232-234.
Astronomy and Astrophysics
Astrophysics
34
Boundary Conditions, Coronal Loops, Magnetohydrodynamic Stability, Photosphere, Solar Corona, Convergence, Differential Equations, Perturbation Theory, Solar Magnetic Field
Scientific paper
Finite-length effects are the primary influence for the MHD stability of coronal loops. This paper gives a new physical description of the photospheric boundary conditions, and the first complete and uniformly convergent initial-perturbation set. A general energy-principle (or variational) stability analysis is then developed. The results of this calculation show that large classes of cylindrical-symmetry perturbations, those with separable contributions to the energy integral, are completely stable. Comparisons are also made with other more restrictive formulations of this problem.
Einaudi Giorgio
Ma Shiguang
van Hoven Gerard
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