ANALYTICAL SOLUTIONS FOR CUSP RESONANCE IN DISSIPATIVE MHD

The present paper considers resonant slow waves in 1D non-uniform magn etic flux tubes in dissipative MHD. Analytical solutions are obtained for the Lagrangian displacement and the Eulerian perturbation of the t otal pressure for both static and stationary equilibrium states. From these analytical solutions we obtain the fundamental conservation law and the jump conditions for resonant slow waves in dissipative MHD. Th e validity of the ideal conservation law and jump conditions obtained by Sakurai, Goossens, and Hollweg (1991) for static equilibria and Goo ssens, Hollweg, and Sakurai (1992) for stationary equilibria is justif ied in dissipative MHD.