Linear MHD Wave Propagation in Time-Dependent Flux Tube

Cally, P.S.: 1986, Leaky and non-leaky oscillations in magnetic flux tubes. Solar Phys. 103, 277.

Corless, R.M., Gonnet, G.H., Hare, D.E.G., Jeffrey, D.J., Knuth, D.E.: 1996, On the Lambert W function. Adv. Comput. Math. 5, 329.

Defouw, R.J.: 1976, Wave propagation along a magnetic tube. Astrophys. J. 209, 266.

Edwin, P.M., Roberts, B.: 1983, Wave propagation in a magnetic cylinder. Solar Phys. 88, 179.

Erdélyi, R., Al-Ghafri, K.S., Morton, R.J.: 2011, Damping of longitudinal magneto-acoustic oscillations in slowly varying coronal plasma. Solar Phys. 272, 73.

Goossens, M., Hollweg, J.V.: 1993, Resonant behavior of MHD waves on magnetic flux tubes. IV – Total resonant absorption and MHD radiating eigenmodes. Solar Phys. 145, 19.

Goossens, M., Erdélyi, R., Ruderman, M.: 2011, Resonant MHD waves in the solar atmosphere. Space Sci. Rev. 158, 289.

Goossens, M., Terradas, J., Andries, J., Arregui, I., Ballester, J.L.: 2009, On the nature of kink MHD waves in magnetic flux tubes. Astron. Astrophys. 503, 213.

Hain, K., Lüst, R.: 1958, Zur Stabilität zylindersymmetrischer Plasmakonfigurationen mit Volumenströmen. Z. Naturforsch. A 13, 936.

Krall, N.A., Trivelpiece, A.W.: 1973, Principles of Plasma Physics, International Student Edition, McGraw-Hill, New York. Section 8.6.2.

Mathioudakis, M., Jess, D.B., Erdélyi, R.: 2013, Alfvén waves in the solar atmosphere. From theory to observations. Space Sci. Rev. 175, 1.

Morton, R.J., Erdélyi, R.: 2009, Transverse oscillations of a cooling coronal loop. Astrophys. J. 707, 750.

Morton, R.J., Erdélyi, R.: 2010, Application of the theory of damping of kink oscillations by radiative cooling of coronal loop plasma. Astron. Astrophys. 519, A43.

Morton, R.J., Hood, A.W., Erdélyi, R.: 2010, Propagating magneto-hydrodynamic waves in a cooling homogeneous coronal plasma. Astron. Astrophys. 512, A23.

Roberts, B.: 1981, Wave propagation in a magnetically structured atmosphere I. Solar Phys. 69, 27.

Roberts, B.: 2000, Waves and oscillations in the corona (invited review). Solar Phys. 193, 139.

Ruderman, M., Erdélyi, R.: 2009, Transverse oscillations of coronal loops. Space Sci. Rev. 149, 199.

Spruit, H.C.: 1982, Propagation speeds and acoustic damping of waves in magnetic flux tubes. Solar Phys. 75, 3.

Stenuit, H., Tirry, W.J., Keppens, R., Goossens, M.: 1999, Leaky and resonantly damped flux tube modes reconsidered. Astron. Astrophys. 342, 863.

Wang, T.: 2011, Standing slow-mode waves in hot coronal loops: observations, modeling, and coronal seismology. Space Sci. Rev. 158, 397.

Williamson, A., Erdélyi, R.: 2014a, Linear MHD wave propagation in time-dependent flux tube. I. Zero plasma- β $\beta$ . Solar Phys. 289, 899.

Williamson, A., Erdélyi, R.: 2014b, Linear MHD wave propagation in time-dependent flux tube. II. Finite plasma beta. Solar Phys. 289, 1193.

Wilson, P.R.: 1979, Hydromagnetic wave modes in magnetic flux tubes. Astron. Astrophys. 71, 9.