Summary: ANALYTICAL SOLUTIONS FOR CUSP RESONANCE IN
DISSIPATIVE MHD
R '
OBERT ERD '
ELYI
Armagh Observatory,
College Hill, Armagh, BT61 9DG, N.Ireland
email: rfs@star.arm.ac.uk
September 19, 1996
Abstract. The present paper considers resonant slow waves in 1D non­uniform magnet­
ic flux tubes in dissipative MHD. Analytical solutions are obtained for the Lagrangian
displacement and the Eulerian perturbation of the total pressure for both static and sta­
tionary equilibrium states.
From these analytical solutions we obtain the fundamental conservation law and the jump
conditions for resonant slow waves in dissipative MHD. The validity of the ideal conser­
vation law and jump conditions obtained by Sakurai et al. (1991) for static equilibria and
Goossens et al. (1992) for stationary equilibria is justified in dissipative MHD.
Key words: MHD -- Slow waves -- Coronal Heating
1. Introduction
Resonant absorption is a popular dissipative mechanism in non­uniform plas­

Source: Armagh Observatory

Collections: Physics