Summary: ANALYTICAL SOLUTIONS FOR CUSP RESONANCE IN
OBERT ERD '
College Hill, Armagh, BT61 9DG, N.Ireland
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
Resonant absorption is a popular dissipative mechanism in nonuniform plas