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Resonant MHD Waves in the Solar Atmosphere

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Abstract

The linear theory of MHD resonant waves in inhomogeneous plasmas is reviewed. The review starts from discussing the properties of driven resonant MHD waves. The dissipative solutions in Alfvén and slow dissipative layers are presented. The important concept of connection formulae is introduced. Next, we proceed on to non-stationary resonant MHD waves. The relation between quasi-modes of ideal MHD and eigenmodes of dissipative MHD are discussed. The solution describing the wave motion in non-stationary dissipative layers is given. It is shown that the connection formulae remain valid for non-stationary resonant MHD waves. The initial-value problem for resonant MHD waves is considered. The application of theory of resonant MHD waves to solar physics is discussed.

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References

  • H. Alfvén, Nature 150, 405 (1942)

    ADS  Google Scholar 

  • J. Andries, M. Goossens, Astron. Astrophys. 368, 1083 (2001a)

    ADS  MATH  Google Scholar 

  • J. Andries, M. Goossens, Astron. Astrophys. 375, 1100 (2001b)

    ADS  Google Scholar 

  • J. Andries, W.J. Tirry, M. Goossens, Astrophys. J. 531, 561 (2000)

    ADS  Google Scholar 

  • J. Andries, M. Goossens, J.V. Hollweg, I. Arregui, T. Van Doorsselaere, Astron. Astrophys. 430, 1109 (2005a)

    ADS  Google Scholar 

  • J. Andries, I. Arregui, M. Goossens, Astrophys. J. 624, L57 (2005b)

    ADS  Google Scholar 

  • J. Andries, I. Arregui, M. Goossens, Astron. Astrophys. 497, 265 (2009a)

    ADS  Google Scholar 

  • J. Andries, T. Van Doorsselaere, B. Roberts, G. Verth, E. Verwichte, R. Erdélyi, Space Sci. Rev. 149, 3 (2009b)

    ADS  Google Scholar 

  • K. Appert, K. Gruber, J. Vaclavik, Phys. Fluids 17, 1471 (1974)

    ADS  Google Scholar 

  • K. Appert, B. Balet, K. Gruber, F. Troyon, J. Vaclavik, Plasma Phys. Control. Fusion 2, 43 (1981)

    Google Scholar 

  • K. Appert, J. Vaclavik, L. Villard, Phys. Fluids 27, 432 (1984)

    ADS  MATH  Google Scholar 

  • I. Arregui, R. Oliver, J.L. Ballester, Astron. Astrophys. 402, 1129 (2003)

    ADS  Google Scholar 

  • I. Arregui, R. Oliver, J.L. Ballester, Astron. Astrophys. 425, 729 (2004a)

    ADS  Google Scholar 

  • I. Arregui, R. Oliver, J.L. Ballester, Astrophys. J. 602, 1006 (2004b)

    ADS  Google Scholar 

  • I. Arregui, T. Van Doorsselaere, J. Andries, M. Goossens, D. Kimpe, Astron. Astrophys. 441, 361 (2005)

    ADS  Google Scholar 

  • I. Arregui, J. Andries, T. Van Doorsselaere, M. Goossens, S. Poedts, Astron. Astrophys. 463, 333 (2007a)

    ADS  Google Scholar 

  • I. Arregui, J. Terradas, R. Oliver, J.L. Ballester, Astron. Astrophys. 466, 1145 (2007b)

    ADS  MATH  Google Scholar 

  • I. Arregui, J. Terradas, R. Oliver, J.L. Ballester, Sol. Phys. 246, 213 (2007c)

    ADS  Google Scholar 

  • I. Arregui, J.L. Ballester, M. Goossens, Astrophys. J. 676, L77 (2008a)

    ADS  Google Scholar 

  • I. Arregui, R. Oliver, J.L. Ballester, Astrophys. J. 642, L141 (2008b)

    ADS  Google Scholar 

  • M.J. Aschwanden, Philos. Trans. R. Soc. A 364, 417 (2006)

    ADS  Google Scholar 

  • M.J. Aschwanden, L. Fletcher, C.J. Schrijver, D. Alexander, Astrophys. J. 520, 880 (1999)

    ADS  Google Scholar 

  • M.J. Aschwanden, B. De Pontieu, C.J. Schrijver, A.M. Tilte, Sol. Phys. 206, 99 (2002)

    ADS  Google Scholar 

  • M.J. Aschwanden, R. Nightingale, J. Andries, T. Van Doorsselaere, M. Goossens, Astrophys. J. 598, 1375 (2003)

    ADS  Google Scholar 

  • B. Balet, K. Appert, J. Vaclavik, Plasma Phys. Control. Fusion 24, 1005 (1982)

    Google Scholar 

  • I. Ballai, R. Erdélyi, Sol. Phys. 180, 65 (1998)

    ADS  Google Scholar 

  • I. Ballai, M.S. Ruderman, Space Sci. Rev. (2010, this issue)

  • I. Ballai, R. Erdélyi, M.S. Ruderman, Phys. Plasmas 5, 2264 (1998a)

    ADS  Google Scholar 

  • I. Ballai, M.S. Ruderman, R. Erdélyi, Phys. Plasmas 5, 252 (1998b)

    ADS  Google Scholar 

  • D. Banerjee, R. Erdélyi, R. Oliver, E. O’Shea, Sol. Phys 246, 3 (2007)

    ADS  Google Scholar 

  • L.R. Bellot Rubio, H. Balthasar, M. Collados, R. Schliechenmeier, Astron. Astrophys. 403, L47 (2003)

    ADS  Google Scholar 

  • A. Bondeson, R. Iacono, A. Bhattacharjee, Phys. Fluids 30, 2167 (1987)

    ADS  MATH  Google Scholar 

  • S.I. Braginskii, Rev. Plasma Phys. 1, 205 (1965)

    ADS  Google Scholar 

  • P. Brekke, D.M. Hassler, K. Wilhelm, Sol. Phys. 175, 349 (1997)

    ADS  Google Scholar 

  • J.P. Boris, Ph.D. Thesis Princeton University, UMI Dissertation Services, Ann Arbor, Michigan (1968), 172 p.

  • V.M. C̆adez̆, Á. Csík, R. Erdélyi, M. Goossens, Astron. Astrophys. 326, 1241 (1997)

    ADS  Google Scholar 

  • J. Chae, K. Ahn, E.-K. Lim, G.S. Choe, T. Sakurai, Astrophys. J. 689, 73 (2008)

    ADS  Google Scholar 

  • L. Chen, A. Hasegawa, Phys. Fluids 17, 1399 (1974a)

    ADS  Google Scholar 

  • L. Chen, A. Hasegawa, J. Geophys. Res. 79, 1024 (1974b)

    ADS  Google Scholar 

  • L. Chen, A. Hasegawa, J. Geophys. Res. 79, 1033 (1974c)

    ADS  Google Scholar 

  • N.F. Cramer, The Physics of Alfvén Waves (Wiley-VCH, New York, 2001)

    Google Scholar 

  • Á. Csík, R. Erdélyi, V.M. C̆adez̆, Sol. Phys. 172, 61 (1997)

    ADS  Google Scholar 

  • Á. Csík, V.M. C̆adez̆, M. Goossens, Astron. Astrophys. 339, 215 (1998)

    ADS  Google Scholar 

  • A. De Groof, M. Goossens, Astron. Astrophys. 356, 724 (2000)

    ADS  Google Scholar 

  • A. De Groof, M. Goossens, Astron. Astrophys. 386, 691 (2002)

    ADS  Google Scholar 

  • A. De Groof, K. Paes, M. Goossens, Astron. Astrophys. 386, 681 (2002)

    ADS  Google Scholar 

  • I. De Moortel, Space Sci. Rev. 149, 65 (2009)

    ADS  Google Scholar 

  • B. De Pontieu, S.W. McIntosh, M. Carlsson, V.H. Hansteen, T.D. Tarbell et al., Science 318, 1574 (2007)

    ADS  Google Scholar 

  • G.A. Doschek, U. Feldman, J.D. Bohlin, Astrophys. J. Lett. 205, 177 (1976)

    ADS  Google Scholar 

  • J.G. Doyle, E. O’Shea, R. Erdélyi, K.P. Dere, D.G. Socker et al., Sol. Phys. 173, 243 (1997)

    ADS  Google Scholar 

  • J.G. Doyle, M. Madjarska, I. Roussev, L. Teriaca, J. Giannikakis, Astron. Astrophys. 396, 255 (2002)

    ADS  Google Scholar 

  • M. Dymova, M.S. Ruderman, Sol. Phys. 229, 79 (2005)

    ADS  Google Scholar 

  • M. Dymova, M.S. Ruderman, Astron. Astrophys. 457, 1059 (2006a)

    ADS  MATH  Google Scholar 

  • M. Dymova, M.S. Ruderman, Astron. Astrophys. 459, 241 (2006b)

    ADS  Google Scholar 

  • P.M. Edwin, B. Roberts, Sol. Phys. 88, 179 (1983)

    ADS  Google Scholar 

  • G. Einaudi, Y. Mok, J. Plasma Phys. 34, 259 (1985)

    ADS  Google Scholar 

  • R. Erdélyi, PhD Thesis, K.U. Leuven, Belgium (1996)

  • R. Erdélyi, Sol. Phys. 171, 49 (1997)

    ADS  Google Scholar 

  • R. Erdélyi, Sol. Phys. 180, 213 (1998)

    ADS  Google Scholar 

  • R. Erdélyi, in MHD Waves Astrophysical Plasmas, ed. by J.L. Ballester, B. Roberts (UIB Press, 2001), pp. 69–78

  • R. Erdélyi, in Solar Variability: From Core to Outer Frontiers, ed. by A. Wilson, vol. 506 (ESA, Noordwijk, 2002), p. 869

    Google Scholar 

  • R. Erdélyi, in Beyond the Spherical Sun: A New era for Helio- and Asteroseismology, ed. by K. Fletcher, vol. 624 (ESA, Noordwijk, 2006a), p. 15.1

    Google Scholar 

  • R. Erdélyi, Philos. Trans. R. Soc. A 364, 351 (2006b)

    ADS  Google Scholar 

  • R. Erdélyi, I. Ballai, Sol. Phys. 186, 67 (1999)

    ADS  Google Scholar 

  • R. Erdélyi, I. Fedun, Science 38, 1572 (2007)

    Google Scholar 

  • R. Erdélyi, V. Fedun, Sol. Phys. 263, 63 (2010)

    ADS  Google Scholar 

  • R. Erdélyi, M. Goossens, Astrophys. Space Sci. 213, 273 (1994)

    ADS  MATH  Google Scholar 

  • R. Erdélyi, M. Goossens, Astron. Astrophys. 294, 575 (1995)

    ADS  Google Scholar 

  • R. Erdélyi, M. Goossens, Astron. Astrophys. 313, 664 (1996)

    ADS  Google Scholar 

  • R. Erdélyi, Y. Taroyan, J. Geophys. Res. 108, 1043 (2003)

    Google Scholar 

  • R. Erdélyi, M. Goossens, M.S. Ruderman, Sol. Phys. 161, 123 (1995)

    ADS  Google Scholar 

  • R. Erdélyi, I. Ballai, M. Goossens, Astron. Astrophys. 368, 662 (2001)

    ADS  MATH  Google Scholar 

  • R. Erdélyi, K. Al-Ghafri, R. Morton, Sol. Phys. (2010, submitted)

  • J.P. Goedbloed, Lecture notes on ideal magnetohydrodynamics. Rijnhuizen Report, 83-145, 1983

  • J.P. Goedbloed, S. Poedts, Principles of Magnetohydrodynamics (Cambridge University Press, Cambridge, 2004)

    Google Scholar 

  • M. Goossens, in Advances in Solar System Magnetohydrodynamics (Cambridge University Press, Cambridge, 1991), p. 135

    Google Scholar 

  • M. Goossens, in Waves & Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology, ed. by R. Erdélyi, C.A. Mendoza-Briceño. Proceedings of IAU Symposium, vol. 247 (2008), p. 228

    Google Scholar 

  • M. Goossens, A. De Groof, Phys. Plasmas 8, 2371 (2001)

    ADS  Google Scholar 

  • M. Goossens, J.V. Hollweg, Sol. Phys. 145, 19 (1993)

    ADS  Google Scholar 

  • M. Goossens, S. Poedts, Astrophys. J. 384, 348 (1992)

    ADS  Google Scholar 

  • M. Goossens, M.S. Ruderman, Phys. Scr. T60, 171 (1995)

    ADS  Google Scholar 

  • M. Goossens, J.V. Hollweg, T. Sakurai, Sol. Phys. 138, 233 (1992)

    ADS  Google Scholar 

  • M. Goossens, M.S. Ruderman, J.V. Hollweg, Sol. Phys. 157, 75 (1995)

    ADS  Google Scholar 

  • M. Goossens, J. Andries, M.J. Aschwanden, Astron. Astrophys. 394, L39 (2002a)

    ADS  Google Scholar 

  • M. Goossens, A. De Groof, J. Andries, ESA 505, 137 (2002b)

    Google Scholar 

  • M. Goossens, A. De Groof, J. Andries, Roy Soc. Lond. Philos. Trans., Ser. A 364, 433 (2006)

    ADS  Google Scholar 

  • M. Goossens, I. Arregui, J.L. Ballester, T.J. Wang, Astron. Astrophys. 484, 851 (2008)

    ADS  Google Scholar 

  • M. Goossens, J. Terradas, J. Andries, I. Arregui, J.L. Ballester, Astron. Astrophys. 503, 213 (2009)

    ADS  MATH  Google Scholar 

  • W. Grossmann, R.A. Smith, Astrophys. J. 332, 476 (1988)

    ADS  Google Scholar 

  • W. Grossmann, J. Tataronis, Z. Phys. 261, 217 (1973)

    ADS  Google Scholar 

  • A. Hasegawa, L. Chen, Phys. Fluids 17, 1924 (1974)

    Google Scholar 

  • A. Hasegawa, C. Uberoi, The Alfvén wave, DOE/TIC-11197, 1982

  • J. He, E. Marsch, C. Tu, H. Tian, Astrophys. J. 705, L217 (2009a)

    ADS  Google Scholar 

  • J. He, C. Tu, E. Marsch, L.J. Guo, S. Yao, H. Tian, Astron. Astrophys. 497, 525 (2009b)

    ADS  Google Scholar 

  • J. Heyvaerts, E.R. Priest, Astron Astrophys. 117, 220 (1983)

    ADS  MATH  Google Scholar 

  • J.V. Hollweg, Astrophys. J. 312, 880 (1987a)

    ADS  Google Scholar 

  • J.V. Hollweg, Astrophys. J. 320, 875 (1987b)

    ADS  Google Scholar 

  • J.V. Hollweg, Astrophys. J. 335, 1005 (1988)

    ADS  Google Scholar 

  • J.V. Hollweg, Comput. Phys. Rep. 12, 205 (1990)

    ADS  Google Scholar 

  • J.V. Hollweg, G. Yang, J. Geophys. Res. 93, 5423 (1988)

    ADS  Google Scholar 

  • J.V. Hollweg, G. Yang, V.M. C̆adez̆, B. Gakovic̆, Astrophys. J. 349, 335 (1990)

    ADS  Google Scholar 

  • B. Inhester, J. Geophys. Res. 91, 1509 (1986)

    ADS  Google Scholar 

  • J.A. Ionson, Astrophys. J. 226, 650 (1978)

    ADS  Google Scholar 

  • J.A. Ionson, Sol. Phys. 100, 289 (1985)

    ADS  Google Scholar 

  • D.B. Jess, M. Mathioudakis, R. Erdélyi, P.J. Crockett, F.P. Keenan et al., Science 323, 1582 (2009)

    ADS  Google Scholar 

  • J.M. Kappraff, M. Tataronis, J. Plasma Phys. 18, 209 (1977)

    ADS  Google Scholar 

  • R. Keppens, T.J. Bogdan, M. Goossens, Astrophys. J. 436, 372 (1994)

    ADS  Google Scholar 

  • M.G. Kivelson, D.J. Southwood, J. Geophys. Res. 91, 4345 (1986)

    ADS  Google Scholar 

  • L.J. Lanzerotti, H. Fukunishi, A. Hasegawa, L. Chen, Phys. Rev. Lett. 31, 624 (1973)

    ADS  Google Scholar 

  • M.A. Lee, B. Roberts, Astrophys. J. 301, 430 (1986)

    ADS  Google Scholar 

  • Y.-Q. Lou, Astrophys. J. 350, 452 (1990)

    ADS  Google Scholar 

  • M.P. McEwan, G.R. Donnelly, A.J. Diaz, B. Roberts, Astron. Astrophys. 460, 893 (2006)

    ADS  MATH  Google Scholar 

  • M.P. McEwan, G.R.A.J. Diaz, B. Roberts, Astron. Astrophys. 481, 819 (2008)

    ADS  MATH  Google Scholar 

  • M. Mathioudakis, R. Erdélyi, D.J. Jess, Space Sci. Rev. (2010, this issue)

  • Y. Mok, G. Einaudi, J. Plasma Phys. 33, 199 (1985)

    ADS  Google Scholar 

  • R. Morton, R. Erdélyi, Astrophys. J. 707, 750 (2009)

    ADS  Google Scholar 

  • R. Morton, R. Erdélyi, Astron. Astrophys. 519, 43 (2010)

    Google Scholar 

  • R. Morton, A.W. Hood, R. Erdélyi, Astron. Astrophys. 512, 23 (2010)

    ADS  Google Scholar 

  • V.M. Nakariakov, L. Ofman, E.E. DeLuca, B. Roberts, J. Davila, Science 285, 862 (1999)

    ADS  Google Scholar 

  • L. Ofman, J.M. Davila, R.S. Steinolfson, Astrophys. J. 421, 360 (1994)

    ADS  Google Scholar 

  • L. Ofman, J.M. Davila, R.S. Steinolfson, Astrophys. J. 444, 471 (1995)

    ADS  Google Scholar 

  • T.J. Okamoto, S. Tsuneta, T.E. Berger, K. Ichimoto, Y. Katsukawa et al., Science 318, 1577 (2007)

    ADS  Google Scholar 

  • B. Pintér, R. Erdélyi, Space Sci. Rev. (2010, this issue)

  • B. Pintér, M. Goossens, Astron. Astrophys. 347, 321 (1999)

    ADS  Google Scholar 

  • B. Pintér, R. Erdélyi, M. Goossens, Astron. Astrophys. 466, 377 (2007)

    ADS  Google Scholar 

  • S. Poedts, W. Kerner, Phys. Rev. Lett. 66, 2871 (1991)

    ADS  Google Scholar 

  • S. Poedts, W. Kerner, J. Plasma Phys. 47, 139 (1992)

    ADS  Google Scholar 

  • S. Poedts, M. Goossens, W. Kerner, Sol. Phys. 123, 83 (1989a)

    ADS  Google Scholar 

  • S. Poedts, W. Kerner, M. Goossens, J. Plasma Phys. 42, 27 (1989b)

    ADS  Google Scholar 

  • S. Poedts, M. Goossens, W. Kerner, Astrophys. J. 360, 279 (1990a)

    ADS  Google Scholar 

  • S. Poedts, M. Goossens, W. Kerner, Computer Phys. Commun. 59, 75 (1990b)

    ADS  MATH  Google Scholar 

  • S. Poedts, M. Goossens, W. Kerner, Computer Phys. Commun. 59, 95 (1990c)

    ADS  MATH  Google Scholar 

  • I.C. Rae, B. Roberts, Moth. Not. R. Astron. Soc. 201, 1171 (1982)

    ADS  MATH  Google Scholar 

  • B. Roberts, Sol. Phys. 69, 27 (1981)

    ADS  Google Scholar 

  • M.S. Ruderman, Sol. Phys. 131, 11 (1991)

    ADS  Google Scholar 

  • M.S. Ruderman, J. Plasma Phys. 63, 43 (2000)

    ADS  Google Scholar 

  • M.S. Ruderman, Astron. Astrophys. 409, 287 (2003)

    ADS  Google Scholar 

  • M.S. Ruderman, Phys. Plasmas 16, 042109 (2009)

    ADS  Google Scholar 

  • M.S. Ruderman, B. Roberts, Astrophys. J. 577, 475 (2002)

    ADS  Google Scholar 

  • M.S. Ruderman, A.N. Wright, J. Geophys. Res. 103, 26573 (1998)

    ADS  Google Scholar 

  • M.S. Ruderman, A.N. Wright, Phys. Plasmas 7, 3515 (2000)

    ADS  Google Scholar 

  • M.S. Ruderman, W. Tirry, M. Goossens, J. Plasma Phys. 54, 129 (1995)

    ADS  Google Scholar 

  • M.S. Ruderman, J.V. Hollweg, M. Goossens, Phys. Plasmas 4, 75 (1997a)

    ADS  Google Scholar 

  • M.S. Ruderman, M. Goossens, J.V. Hollweg, Phys. Plasmas 4, 91 (1997b)

    ADS  Google Scholar 

  • M.S. Ruderman, G. Verth, R. Erdélyi, Astrophys. J. 686, 694 (2008)

    ADS  Google Scholar 

  • T. Sakurai, M. Goossens, J.V. Hollweg, Sol. Phys. 133, 227 (1991a)

    ADS  Google Scholar 

  • T. Sakurai, M. Goossens, J.V. Hollweg, Sol. Phys. 133, 247 (1991b)

    ADS  Google Scholar 

  • C.J. Schrijver, D.S. Brown, Astrophys. J. 537, L69 (2000)

    ADS  Google Scholar 

  • C.J. Schrijver, M.J. Aschwanden, A.M. Tilte, Sol. Phys. 206, 69 (2002)

    ADS  Google Scholar 

  • Z. Sedlaček, J. Plasma Phys. 5, 239 (1971)

    ADS  Google Scholar 

  • R.A. Smith, C.K. Goertz, W. Grossmann, Geophys. Res. Lett. 13, 1380 (1986)

    ADS  Google Scholar 

  • R. Soler, R. Oliver, L.J. Ballester, M. Goossens, Astrophys. J. Lett. 695, L166 (2009a)

    ADS  Google Scholar 

  • R. Soler, R. Oliver, L.J. Ballester, Astrophys. J. 707, 662 (2009b)

    ADS  Google Scholar 

  • D.J. Southwood, Planet. Space Sci. 22, 483 (1974)

    ADS  Google Scholar 

  • D.J. Southwood, M.G. Kivelson, J. Geophys. Res. 91, 4345 (1986)

    ADS  Google Scholar 

  • H.C. Spruit, Sol. Phys. 75, 3 (1982)

    ADS  Google Scholar 

  • R.S. Steinolfson, J.M. Davila, Astrophys. J. 415, 354 (1993)

    ADS  Google Scholar 

  • H. Stenuit, S. Poedts, M. Goossens, Sol. Phys. 147, 13 (1993)

    ADS  Google Scholar 

  • H. Stenuit, R. Erdélyi, M. Goossens, Sol. Phys. 161, 139 (1995)

    ADS  Google Scholar 

  • H. Stenuit, R. Keppens, M. Goossens, Astron. Astrophys. 331, 392 (1998)

    ADS  Google Scholar 

  • H. Stenuit, W.J. Tirry, R. Keppens, M. Goossens, Astron. Astrophys. 342, 863 (1999)

    ADS  Google Scholar 

  • Y. Taroyan, R. Erdélyi, Phys. Plasmas 9, 3121 (2002)

    ADS  Google Scholar 

  • Y. Taroyan, R. Erdélyi, Phys. Plasmas 10, 266 (2003a)

    ADS  Google Scholar 

  • Y. Taroyan, R. Erdélyi, J. Geophys. Res. 108, 1301 (2003b)

    Google Scholar 

  • Y. Taroyan, M.S. Ruderman, Space Sci. Rev. (2010, this issue)

  • J. Tataronis, W. Grosmann, Z. Phys. 261, 203 (1973)

    ADS  Google Scholar 

  • J. Terradas, Space Sci. Rev. 149, 255 (2009)

    ADS  Google Scholar 

  • J. Terradas, R. Oliver, J.L. Ballester, Astrophys. J. 642, 533 (2006a)

    ADS  Google Scholar 

  • J. Terradas, R. Oliver, J.L. Ballester, Astrophys. J. 650, L91 (2006b)

    ADS  Google Scholar 

  • J. Terradas, J. Andries, M. Goossens, Astron. Astrophys. 469, 1135 (2007)

    ADS  Google Scholar 

  • J. Terradas, I. Arregui, R. Oliver, J.L. Ballester, J. Andries et al., Astrophys. J. 687, L115 (2008)

    ADS  Google Scholar 

  • J. Terradas, M. Goossens, I. Ballai, Astron. Astrophys. 515, A46 (2010a)

    ADS  Google Scholar 

  • J. Terradas, M. Goossens, G. Verth, Astron. Astrophys. (2010b, accepted). doi:10.1051/0004-6361/201014845

    Google Scholar 

  • W.J. Tirry, M. Goossens, J. Geophys. Res. 100, 23687 (1995)

    ADS  Google Scholar 

  • W.J. Tirry, M. Goossens, Astrophys. J. 471, 501 (1996)

    ADS  Google Scholar 

  • W.J. Tirry, M. Goossens, B. Pinter, V.M. C̆adez̆, P. VanLommel, Astrophys. J. 503, 422 (1998a)

    ADS  Google Scholar 

  • W.J. Tirry, V.M. C̆adez̆, R. Erdélyi, M. Goossens, Astron. Astrophys. 332, 786 (1998b)

    ADS  Google Scholar 

  • S. Tomczyk, S.W. McIntosh, S.L. Keil, P.G. Judge, T. Schad et al., Science 317, 1192 (2007)

    ADS  Google Scholar 

  • S. Tomczyk, S.W. McIntosh, Astrophys. J. 697, 1384 (2009)

    ADS  Google Scholar 

  • S. Van Doorsselaere, J. Andries, S. Poedts, M. Goossens, Astrophys. J. 606, 1223 (2004)

    ADS  Google Scholar 

  • S. Van Doorsselaere, V.M. Nakariakov, E. Verwichte, Astrophys. J. 676, L73 (2008)

    ADS  Google Scholar 

  • P. Van Lommel, M. Goossens, Sol. Phys. 187, 357 (1999)

    ADS  Google Scholar 

  • P. Van Lommel, A. De Bosscher, J. Andries, M. Goossens, Sol. Phys. 205, 1 (2002)

    ADS  Google Scholar 

  • S. Vasheghani Farahani, T. Van Doorsselaere, E. Verwichte, V.M. Nakariakov, Astron. Astrophys. 498, L29 (2009)

    ADS  Google Scholar 

  • G. Verth, R. Erdélyi, Astron. Astrophys. 486, 1015 (2008)

    ADS  MATH  Google Scholar 

  • G. Verth, J. Terradas, M. Goossens, Astrophys. J. 718, L102 (2010)

    ADS  Google Scholar 

  • H.P. Warren, J.T. Mariska, K. Wilhelm, P. Lemaire, Astrophys. J. Lett. 484, L91 (1997)

    ADS  Google Scholar 

  • D.G. Wentzel, Astron. Astrophys. 76, 20 (1979a)

    ADS  MATH  Google Scholar 

  • D.G. Wentzel, Astrophys. J. 233, 756 (1979b)

    ADS  Google Scholar 

  • A.N. Wright, W. Allan, J. Geophys. Res. 101, 17399 (1995)

    ADS  Google Scholar 

  • A.N. Wright, G.J. Rickard, Astrophys. J. 444, 458 (1995)

    ADS  Google Scholar 

  • G. Yang, J.V. Hollweg, J. Geophys. Res. 96, 13807 (1991)

    ADS  Google Scholar 

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Authors and Affiliations

  1. Centre Plasma Astrophysica, Katholieke Universiteit Leuven, Leuven, 3001, Belgium

    Marcel Goossens

  2. Solar Physics and Space Plasma Research Centre (SP2RC), Department of Applied Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield, S3 7RH, UK

    Robert Erdélyi & Michael S. Ruderman

Authors
  1. Marcel Goossens
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  2. Robert Erdélyi
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  3. Michael S. Ruderman
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Correspondence to Marcel Goossens.

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Goossens, M., Erdélyi, R. & Ruderman, M.S. Resonant MHD Waves in the Solar Atmosphere. Space Sci Rev 158, 289–338 (2011). https://doi.org/10.1007/s11214-010-9702-7

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  • DOI: https://doi.org/10.1007/s11214-010-9702-7

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