Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-9pm4c Total loading time: 0 Render date: 2024-04-27T04:17:00.639Z Has data issue: false hasContentIssue false

References

Published online by Cambridge University Press:  15 July 2019

Bernard Roberts
Affiliation:
University of St Andrews, Scotland
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ablowitz, M. J. and Segur, H. 1981, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia).Google Scholar
Abramowitz, M. and Stegun, I. A. 1965, Handbook of Mathematical Functions (Dover Publications, New York).Google Scholar
Adam, J. A. 1975, Astrophys. Space Sci. 36, 479.CrossRefGoogle Scholar
Adam, J. A. 1977, Solar Phys. 52, 293.CrossRefGoogle Scholar
Adam, J. A. 1982, Physics Reports 86, 217.CrossRefGoogle Scholar
Adam, J. A. 1986, Physics Reports 142, 263.CrossRefGoogle Scholar
Adams, M. J. 1981, An Introduction to Optical Waveguides (Wiley, Chichester), Sect. 4.3.1-4.3.2.Google Scholar
Afanasyev, A. N. and Nakariakov, V. M. 2015, Astron. Astrophys. 573, A32.CrossRefGoogle Scholar
Alfvén, H. 1942a, Nature 150, 405.CrossRefGoogle Scholar
Alfvén, H. 1942b, Arkiv. f. Mat. 29B, No. 2.Google Scholar
Alfvén, H. 1943, Arkiv f. Matematik, Astronomi och Fysik. 29, 1.Google Scholar
Alfvén, H. 1947, Mon. Not. Roy. Astron. Soc. 107, 211.Google Scholar
Alfvén, H. 1950, Cosmical Electrodynamics (Clarendon Press, Oxford).Google Scholar
Andries, J. and Cally, P. S. 2011, Astrophys. J. 743, 164.CrossRefGoogle Scholar
Andries, J., Goossens, M., Hollweg, J. V., Arregui, I. and Van Doorsselaere, T. 2005, Astron. Astrophys. 430, 1109.Google Scholar
Andries, J., Van Doorsselaere, T., Roberts, B., Verth, G., Verwichte, E. and Erdélyi, R., 2009, Space Sci. Rev. 149, 3.CrossRefGoogle Scholar
Anfinogentov, S., Nisticó, G. and Nakariakov, V. M. 2013, Astron. Astrophys. 560, A107.CrossRefGoogle Scholar
Anzer, U. 2009, Astron. Astrophys. 497, 521.CrossRefGoogle Scholar
Appert, K., Gruber, R. and Vaclavik, J. 1974, Phys. Fluids 17, 1471.CrossRefGoogle Scholar
Arregui, I., Andries, J., Van Doorsselaere, T., Goossens, M. and Poedts, S. 2007, Astron. Astrophys. 463, 333.CrossRefGoogle Scholar
Arregui, I., Oliver, R. and Ballester, J. L. 2012, Living Rev. Solar Phys. 9, 2.Google Scholar
Arregui, I., Terradas, J., Oliver, R. and Ballester, J. L. 2008, Astrophys. J. 682, L141.CrossRefGoogle Scholar
Aschwanden, M. J. 1987, Solar Phys. 111, 113.CrossRefGoogle Scholar
Aschwanden, M. J. 2004, Physics of the Solar Corona (Springer, Berlin).Google Scholar
Aschwanden, M. J., De Pontieu, B., Schrijver, C. J. and Title, A. 2002, Solar Phys. 206, 99.Google Scholar
Aschwanden, M. J., Fletcher, L., Schrijver, C. J. and Alexander, D. 1999, Astrophys. J. 520, 880.CrossRefGoogle Scholar
Aschwanden, M. J., Nakariakov, V. M. and Melnikov, V. F. 2004, Astrophys. J. 600, 458.CrossRefGoogle Scholar
Aschwanden, M. J., Nightingale, R. W., Andries, J., Goossens, M. and Van Doorsselaere, T. 2003, Astrophys. J. 598, 1375.CrossRefGoogle Scholar
Aschwanden, M. J. and Schrijver, C. J. 2011, Astrophys. J. 736, 102.CrossRefGoogle Scholar
Bahari, K. 2017, Astrophys. Space Sci. 362, 177.CrossRefGoogle Scholar
Ballai, I. 2006, J. Physics: Conference Series 44, 20.Google Scholar
Ballester, J. L. 2013. In Nature of Prominences and Their Role in Space Weather, eds. Schmieder, B., Malherbe, J.-M. and Wu, S. T., IAU Symposium 300, p. 30.Google Scholar
Ballester, J. L. and Priest, E. R. 1989, Astron. Astrophys. 225, 213.Google Scholar
Barbulescu, M. and Erdélyi, R. 2016, Solar Phys. 291, 1369.CrossRefGoogle Scholar
Barston, E. M. 1964, Ann. Phys. 29, 282.CrossRefGoogle Scholar
Beckers, J. M. and Tallant, P. E. 1969, Solar Phys. 7, 351.Google Scholar
Beckers, J. M. and Schultz, R. B. 1972, Solar Phys. 27, 61.CrossRefGoogle Scholar
Bembitov, D. B., Mikhalyaev, B. B. and Ruderman, M. S. 2014, Ann. Geophys. 32, 1189.CrossRefGoogle Scholar
Bender, C. M. and Orszag, S. A. 1978, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York).Google Scholar
Benjamin, T. B. 1967, J. Fluid Mech. 29, 559.Google Scholar
Bennett, K., Roberts, B. and Narain, U. 1999, Solar Phys. 185, 41.CrossRefGoogle Scholar
Berghmans, D. and Clette, F. 1999, Solar Phys. 186, 207.CrossRefGoogle Scholar
Bernstein, I., Frieman, E., Kruskal, M. and Kulsrud, R. 1958, Proc. Roy. Soc. A244, 17.Google Scholar
Billingham, J. and King, A. C. 2000, Wave Motion (Cambridge University Press, Cambridge).Google Scholar
Bogdan, T. J. and Judge, P. G. 2006, Phil. Trans. Roy. Soc. A 364, 313.Google Scholar
Bogdan, T. J. and Lerche, I. 1988, Quart. Appl. Maths. XLVI, 365.Google Scholar
Boris, J. P. 1968, PhD thesis, Princeton University, UMI Dissertation Services, Ann Arbor, Michigan.Google Scholar
Boyd, T. J. and Sanderson, J. J. 1969, Plasma Dynamics (Thomas Nelson, London).Google Scholar
Boyd, T. J. M. and Sanderson, J. J. 2003, The Physics of Plasmas (Cambridge University Press, Cambridge).CrossRefGoogle Scholar
Bracewell, R. N. 2000, The Fourier Transform and its Application (McGraw-Hill, Singapore).Google Scholar
Braginskii, S. I. 1965, Rev. Plasma Phy. 1, 205.Google Scholar
Bray, R. J., Cram, L. E., Durrant, C. and Loughhead, R. E. 1991, Plasma Loops in the Solar Corona (Cambridge University Press, Cambridge).CrossRefGoogle Scholar
Bray, R. J. and Loughhead, R. E. 1974, The Solar Atmosphere (Chapman and Hall, London).Google Scholar
Burgers, J. M. 1948, Adv. Appl. Mech. 1, 171.Google Scholar
Cadez, V. M., Csik, A., Erdélyi, R. and Goossens, M. 1997, Astron. Astrophys. 326, 1241.Google Scholar
Cally, P. S. 1986, Solar Phys. 290, 27.Google Scholar
Cally, P. S. 2001, Astrophys. J. 548, 473.CrossRefGoogle Scholar
Campbell, W. R. and Roberts, B. 1989, Astrophys. J. 338, 538.Google Scholar
Cargill, P. J., De Moortel, I. and Kiddie, G. 2016, Astrophys. J. 823, 31.CrossRefGoogle Scholar
Carter, B. K. and Erdélyi, R. 2007, Astron. Astrophys. 475, 323.Google Scholar
Carter, B. K. and Erdélyi, R. 2008, Astron. Astrophys. 481, 239.Google Scholar
Chandrasekhar, S. 1961, Hydrodynamic and Magnetohydrodynamic Stability (Clarendon Press, Oxford).Google Scholar
Chapman, S. 1954, Astrophys. J. 120, 151.CrossRefGoogle Scholar
Chen, L. and Hasegawa, A. 1974, Phys. Fluids 17, 1399.Google Scholar
Chen, S.-X., Li, B., Xia, L.-D. and Yu, H. 2015a, Solar Phys. 290, 2231.Google Scholar
Chen, S.-X., Li, B., Xiong, M., Yu, H. and Guo, M.-Z. 2015b, Astrophys. J. 812, 22.CrossRefGoogle Scholar
Chen, S.-X., Li, B., Xiong, M., Yu, H. and Guo, M.-Z. 2016, Astrophys. J. 833, 114.Google Scholar
Cho, I.-H., Cho, K.-S., Bong, S.-C. et al. 2017, Astrophys. J. Lett. 837, L11.CrossRefGoogle Scholar
Choudhuri, A. R. 1998, The Physics of Fluids and Plasmas: An Introduction for Astrophysicists (Cambridge University Press, Cambridge).Google Scholar
Coddington, E. A. and Levinson, N. 1955, Theory of Ordinary Differential Equations (McGraw-Hill, New York).Google Scholar
Cooper, F. C., Nakariakov, V. M. and Williams, D. R. 2003, Astron. Astrophys. 409, 325.CrossRefGoogle Scholar
Coulson, C. A. 1955, Waves (Oliver and Boyd, Edinburgh).Google Scholar
Cowling, T. G. 1934, Mon. Not. Roy. Astron. Soc. 94, 39.Google Scholar
Cowling, T. G. 1941, Mon. Not. Roy. Astron. Soc. 101, 367.CrossRefGoogle Scholar
Cowling, T. G. 1946, Mon. Not. Roy. Astron. Soc. 106, 218.Google Scholar
Cowling, T. G. 1957, Magnetohydrodynamics (Interscience, New York).Google Scholar
Cowling, T. G. 1962, Rep. Prog. Phys. 25, 244.CrossRefGoogle Scholar
Cowling, T. G. 1976, Magnetohydrodynamics (Adam Hilger, Bristol).Google Scholar
Defouw, R. J. 1976, Astrophys. J. 209, 266.Google Scholar
De Moortel, I. and Brady, C. S. 2007, Astrophys. J. 664, 1210.CrossRefGoogle Scholar
De Moortel, I. and Hood, A. W. 2003, Astron. Astrophys. 408, 755.CrossRefGoogle Scholar
De Moortel, I., Hood, A. W., Ireland, J. and Walsh, R. W. 2002a, Solar Phys. 209, 89.Google Scholar
De Moortel, I., Ireland, J., Hood, A. W. and Walsh, R. W. 2002b, Astron. Astrophys. 387, L13.Google Scholar
De Moortel, I., Ireland, J. and Walsh, R. W. 2000, Astron. Astrophys. 355, L23.Google Scholar
De Moortel, I., Ireland, J., Walsh, R. W. and Hood, A. W. 2002c, Solar Phys. 209, 61.Google Scholar
De Moortel, I. and Nakariakov, V. M. 2012, Phil. Trans. Roy. Soc. A 370, 3193.Google Scholar
Deres, A. and Anfinogentov, S. 2018, Solar Phys. 293, 2.Google Scholar
Díaz, A. J., Oliver, R. and Ballester, J. L. 2002, Astrophys. J. 580, 550.Google Scholar
Díaz, A. J., Oliver, R. and Ballester, J. L. 2003, Astron. Astrophys. 402, 781.CrossRefGoogle Scholar
Díaz, A. J., Oliver, R. and Ballester, J. L. 2010, Astrophys. J. 725, 1742.Google Scholar
Díaz, A. J., Oliver, R., Erdélyi, R. and Ballester, J. L. 2001, Astron. Astrophys. 379, 1083.Google Scholar
Dorotovic̃, I., Erdélyi, R., Freij, N., Karlovský, V. and Márquez, I. 2014, Astron. Astrophys. 563, A12.Google Scholar
Dorotovic̃, I., Erdélyi, R. and Karlovský, V. 2008. In Waves and Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology, eds. Erdélyi, R. and Mendoza-Briceno, C. A., IAU Symposium 247, p. 351.Google Scholar
Drazin, P. G. and Johnson, R. S. 1989, Solitons: An Introduction (Cambridge University Press, Cambridge).Google Scholar
Duckenfield, T., Anfinogentov, S. A., Pascoe, D. J. and Nakariakov, V. M. 2018, Astrophys. J. 854, L5.Google Scholar
Dungey, J. W. 1954, J. Geophys. Res. 59, 323.Google Scholar
Dungey, J. W. and Loughhead, R. E. 1954, Australian J. Phys. 7, 5.Google Scholar
Dymova, M. V. and Ruderman, M. S. 2005, Solar Phys. 229, 79.CrossRefGoogle Scholar
Dymova, M. V. and Ruderman, M. S. 2006, Astron. Astrophys. 457, 1059.CrossRefGoogle Scholar
Dymova, M. V. and Ruderman, M. S. 2007, Astron. Astrophys. 463, 759 (Erratum).Google Scholar
Edwin, P. M. 1984, PhD thesis, University of St Andrews, St Andrews.Google Scholar
Edwin, P. M. and Roberts, B. 1982, Solar Phys. 76, 239.Google Scholar
Edwin, P. M. and Roberts, B. 1983, Solar Phys. 88, 179.CrossRefGoogle Scholar
Edwin, P. M. and Roberts, B. 1986, Wave Motion 8, 151.Google Scholar
Edwin, P. M. and Roberts, B. 1988, Astron. Astrophys. 192, 343.Google Scholar
Engvold, O. 2001a. In INTAS Workshop on MHD Waves in Astrophysical Plasmas, eds. Ballester, J. L. and Roberts, B. (University de les Illes Balears, Palma de Mallorca), p. 123.Google Scholar
Engvold, O. 2001b. In Encyclopedia of Astronomy and Astrophysics, ed. Murdin, P., (Institute of Physics, Nature Publishing Group, London), p. 2695.Google Scholar
Epstein, P. S. 1930, Proc. National Acad. Sci. USA 16, 627.Google Scholar
Erdélyi, A. 1954, Table of Integral Transforms, Volume 1 (McGraw-Hill, New York), p. 24.Google Scholar
Erdélyi, R. 1997, Space Sci. Rev. 158, 289.Google Scholar
Erdélyi, R. 2006a, Phil. Trans. Roy. Soc. A 364, 289.Google Scholar
Erdélyi, R. 2006b, Phil. Trans. Roy. Soc. A 364, 351.Google Scholar
Erdélyi, R. and Carter, B. K. 2006, Astron. Astrophys. 455, 361.CrossRefGoogle Scholar
Erdélyi, R. and Fedun, V. 2006a, Solar Phys. 238, 41.CrossRefGoogle Scholar
Erdélyi, R. and Fedun, V. 2006b, Physics of Plasmas 13, 032902.Google Scholar
Erdélyi, R. and Fedun, V. 2007, Solar Phys. 246, 101.Google Scholar
Erdélyi, R. and Fedun, V. 2010, Solar Phys. 263, 63.CrossRefGoogle Scholar
Evans, D. J. and Roberts, B. 1990a, Astrophys. J. 348, 346.CrossRefGoogle Scholar
Evans, D. J. and Roberts, B. 1990b, Astrophys. J. 356, 704.Google Scholar
Evans, D. J. and Roberts, B. 1991, Astrophys. J. 371, 387.Google Scholar
Evans, D. J. and Roberts, B. 1992, Nature 355, 230.Google Scholar
Ewing, W. M., Jardetzky, W. S. and Press, F. 1957, Elastic Waves in Layered Media (McGraw-Hill, New York).CrossRefGoogle Scholar
Ferraro, V. C. A. 1954, Astrophys. J. 119, 393.Google Scholar
Ferraro, V. C. A. and Plumpton, C. 1958, Astrophys. J. 127, 459.CrossRefGoogle Scholar
Ferraro, V. C. A. and Plumpton, C. 1966, An Introduction to Magneto-Fluid Mechanics (Clarendon Press, Oxford).Google Scholar
Ferriz-Mas, A. and Schussler, M. 1989, Geophys. Astrophys. Fluid Dynamics 48, 217.CrossRefGoogle Scholar
Ferriz-Mas, A., Schussler, M. and Anton, V. 1990, Astron. Astrophys. 210, 425.Google Scholar
Field, G. B. 1965, Astrophys. J. 142, 531.Google Scholar
Foullon, C. and Roberts, B. 2005, Astron. Astrophys. 439, 713.Google Scholar
Freij, N., Dorotović, I., Morton, R. J. et al. 2016, Astrophys. J. 817, 44.Google Scholar
Friedrichs, K. O. and Kranzer, H. 1958, Report NYO-6486, A.E.C., Computing and Applied Mathematics Center, New York University.Google Scholar
Fujimura, D. and Tsuneta, S. 2009, Astrophys. J. 702, 1443.CrossRefGoogle Scholar
Giovanelli, R. G. 1972, Solar Phys. 27, 71.CrossRefGoogle Scholar
Goedbloed, J. P. 1971a, Physica 53, 412.CrossRefGoogle Scholar
Goedbloed, J. P. 1971b, Physica 53, 501.CrossRefGoogle Scholar
Goedbloed, J. P. 1971c, Physica 53, 535.Google Scholar
Goedbloed, J. P. 1983, Lecture Notes on Ideal Magnetohydrodynamics, Rijnhuizen Report No. 83-145.Google Scholar
Goedbloed, J. P. and Hagebeuk, H. J. L. 1972, Phys. Fluids 15, 1090.Google Scholar
Goedbloed, J. P., Keppens, R. and Poedts, S. 2010, Advanced Magnetohydrodynamics (Cambridge University Press, Cambridge).Google Scholar
Goedbloed, J. P. and Poedts, S. 2004, Principles of Magnetohydrodynamics (Cambridge University Press, Cambridge).CrossRefGoogle Scholar
Goossens, M. 1991. In Advances in Solar System Magnetohydrodynamics, eds. Priest, E. R. and Hood, A. W. (Cambridge University Press, Cambridge), p. 137.Google Scholar
Goossens, M. 2003, An Introduction to Plasma Astrophysics and Magnetohydrodynamics (Kluwer, Dordrecht).Google Scholar
Goossens, M. 2008. In Waves and Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology, eds. Erdélyi, R. and Mendoza-Briceno, C. A., IAU Symposium 247, p. 228.Google Scholar
Goossens, M., Andries, J. and Aschwanden, M. J. 2002, Astron. Astrophys. 394, L39.Google Scholar
Goossens, M., Arregui, I., Ballester, J. L. and Wang, T. J. 2008, Astron. Astrophys. 484, 851CrossRefGoogle Scholar
Goossens, M., Erdélyi, R. and Ruderman, M. S. 2011, Space Sci. Rev. 158, 289.CrossRefGoogle Scholar
Goossens, M. and Hollweg, J. V. 1993, Solar Phys. 145, 19.CrossRefGoogle Scholar
Goossens, M., Hollweg, J. V. and Sakurai, T. 1992, Solar Phys. 138, 233.Google Scholar
Goossens, M. and Ruderman, M. S. 1995, Physica Scripta T60, 171.CrossRefGoogle Scholar
Goossens, M., Ruderman, M. S. and Hollweg, J. V. 1995, Solar Phys. 157, 75.Google Scholar
Goossens, M., Terradas, J., Andries, J., Arregui, I. and Ballester, J. L. 2009, Astron. Astrophys. 503, 213.CrossRefGoogle Scholar
Grant, S. D. T., Jess, D. B., Moreels, M. G. et al. 2015, Astrophys. J. 806, 132.Google Scholar
Guo, M., Chen, S.-X., Li, B., Xia, L.-D. and Yu, H. 2016, Solar Phys. 291, 877.CrossRefGoogle Scholar
Hague, A. and Erdélyi, R. 2016, Astrophys. J. 828, 88.CrossRefGoogle Scholar
Hain, K. and Lüst, R. 1958, Z. Naturforsch. 13a, 936.Google Scholar
Hale, G. E. 1908, Astrophys. J. 28, 315.Google Scholar
Hasan, S. S. and Christensen-Dalsgaard, J. 1992, Astrophys. J. 396, 311.CrossRefGoogle Scholar
Hasegawa, A. and Chen, L. 1974, Phys. Rev. Lett. 32, 454.Google Scholar
Hasegawa, A. and Uberoi, C. 1982, The Alfvén Wave (US Deportment of Energy Technical Information Center, Oak Ridge, Tn).Google Scholar
Herlofson, N. 1950, Nature 165, 1020.CrossRefGoogle Scholar
Heyvaerts, J. and Priest, E. R. 1983, Astron. Astrophys. 117, 220.Google Scholar
Hollweg, J. V. 1979, Solar Phys. 62, 227.Google Scholar
Hollweg, J. V. 1987, Astrophys. J. 312, 880.Google Scholar
Hollweg, J. V. and Yang, G. 1988, J. Geophys. Res. 95, 5423.Google Scholar
Hood, A. W., Gonzalez-Delgado, D. and Ireland, J. 1997, Astron. Astrophys. 324, 11.Google Scholar
Hood, A. W., Ireland, J. and Priest, E. R. 1997, Astron. Astrophys. 318, 957.Google Scholar
Hood, A. W., Ruderman, M., Pascoe, D. J. et al. 2013, Astron. Astrophys. 551, A39.CrossRefGoogle Scholar
Hyder, C. L. 1966, Z. Astrophys. 63, 78.Google Scholar
Ince, E. L. 1944, Ordinary Differential Equations (Dover Publications, New York), chap. X.Google Scholar
Ionson, J. A. 1978, Astrophys. J. 226, 650.Google Scholar
Jain, R. and Roberts, B. 1991, Solar Phys. 133, 263.Google Scholar
Jain, R. and Roberts, B. 1993, Astrophys. J. 414, 898.Google Scholar
Jain, R. and Roberts, B. 1994, Solar Phys. 152, 261.CrossRefGoogle Scholar
Jain, R. and Roberts, B. 1996, Astrophys. J. 456, 399.Google Scholar
Jeffrey, A. 1966, Magnetohydrodynamics (Oliver and Boyd, Edinburgh and London).Google Scholar
Jess, D. B., Reznikova, V. E., Ryans, R. S. I. et al. 2016, Nature Physics 12, 179.CrossRefGoogle Scholar
Jing, J., Lee, J., Spirock, T. J. et al. 2003, Astrophys. J. 584, L103.Google Scholar
Joarder, P. S. 1993, PhD Thesis, University of St Andrews, St Andrews.Google Scholar
Joarder, P. S., Nakariakov, V. M. and Roberts, B. 1997, Solar Phys. 173, 81.Google Scholar
Joarder, P. S. and Roberts, B. 1992, Astron. Astrophys. 256, 264.Google Scholar
Joarder, P. S. and Roberts, B. 1993, Astron. Astrophys. 277, 225.Google Scholar
Kadomtsev, B. B. 1966. In Reviews of Plasma Physics, ed. Leontowich, M. A., (Consultants Bureau, New York), p. 153.Google Scholar
Kakutani, T., Ono, H., Taniuti, T. and Wei, C.-C. 1968, J. Phys. Soc. Japan 24, 1159.Google Scholar
Kendall, P. C. and Plumpton, C. 1964, Magnetohydrodynamics with Hydrodynamics, Vol. 1 (Pergamon Press, London).Google Scholar
Keys, P. H., Morton, R. J., Jess, D. B. et al. 2018, Astrophys. J. 857, 28.Google Scholar
Khomenko, E. and Collados, M. 2015, Living Rev. Solar Phys. 12, 6.Google Scholar
Khongorova, O. V., Mikhalyaev, B. B. and Ruderman, M. S. 2012, Solar Phys. 280, 153.Google Scholar
Kolotkov, D. Y., Nakariakov, V. M., Kupriyanova, E. G., Ratcliffe, H. and Shibasaki, K. 2015, Astron. Astrophys. 574, A53.Google Scholar
Kopylova, Y. G., Melnikov, A. V., Stepanov, A. V. et al. 2007, Astron. Letters 33, 706.Google Scholar
Krishna Prasad, S., Banerjee, D. and Van Doorsselaere, T. 2014, Astrophys. J. 789, 118.Google Scholar
Kruskal, M. and Schwarzschild, M. 1954, Proc. Roy. Soc. London A223, 348.Google Scholar
Kumar, P., Innes, D. E. and Inhester, B. 2013 Astrophys. J. Lett. 779, L7.Google Scholar
Kumar, S., Nakariakov, V. M. and Moon, Y.-J. 2016, Astrophys. J. 824, 8.Google Scholar
Lamb, H. 1909, Proc. London Math. Soc. 7, 122.Google Scholar
Lamb, H. 1932, Hydrodynamics (Cambridge University Press, Cambridge).Google Scholar
Landau, L. D. and Lifshitz, E. M. 1958, Quantum Mechanics (Pergamon Press, Oxford), Sect. 23, pp. 73-74.Google Scholar
Landau, L. D. and Liftshitz, E. M. 1959, Fluid Mechanics (Pergamon Press, Oxford).Google Scholar
Lee, M. A. 1980, Astrophys. J. 240, 693.Google Scholar
Lee, M. A. and Roberts, B. 1986, Astrophys. J. 301, 430.Google Scholar
Leibovich, S. 1970, J. Fluid Mech. 42, 803.Google Scholar
Leroy, B. and Schwartz, S. J. 1982, Astron. Astrophys. 112, 84.Google Scholar
Li, B., Habbal, S. R. and Chen, Y. 2013, Astrophys. J. 767, 169.Google Scholar
Lighthill, J. 1978, Waves in Fluids (Cambridge University Press, Cambridge).Google Scholar
Lighthill, M. J. 1958, Introduction to Fourier Analysis and Generalised Functions (Cambridge University Press, Cambridge).Google Scholar
Lighthill, M. J. 1960, Phil. Trans. Roy. Soc. A252, 397.Google Scholar
Lim, D., Nakariakov, V. M. and Moon, Y.-J. 2018, J. Atmos. Solar-Terr. Phys. 175, 49.Google Scholar
Lin, Y., Engvold, O., Rouppe van der Voort, L., Wiik, J. E. and Berger, T. E. 2005, Solar Phys. 226, 239.Google Scholar
Lin, Y., Engvold, O., Rouppe van der Voort, L. H. M. and van Noort, M. J. 2007, Solar Phys. 246, 65.Google Scholar
Lin, Y., Soler, R., Engvold, O., Ballester, J. L. et al. 2009, Astrophys. J. 704, 870.Google Scholar
Long, D. M., Valori, G., Pérez-Suárez, D., Morton, R. J. and Vásquez, A. M. 2017a, Astron. Astrophys. 603, A101.CrossRefGoogle Scholar
Long, D. M., Valori, G., Pérez-Suárez, D., Morton, R. J. and Vásquez, A. M. 2017b, Astron. Astrophys. 607, C3. (Corrigendum)Google Scholar
Lopin, I. and Nagorny, I. 2013, Astrophys. J. 774, 121.CrossRefGoogle Scholar
Lopin, I. and Nagorny, I. 2014, Astron. Astrophys. 572, A60.Google Scholar
Lopin, I. and Nagorny, I. 2015, Astrophys. J. 801, 23.CrossRefGoogle Scholar
Lopin, I., Nagorny, I. and Nippolainen, E. 2014, Solar Phys. 289, 3033.Google Scholar
Love, A. E. H. 1911, Some Problems of Geodynamics (Cambridge University Press, Cambridge), chap. XI.Google Scholar
Luna, M., Díaz, A. J. and Karpen, J. T. 2012, Astrophys. J. 757, 98.Google Scholar
Luna, M. and Karpen, J. T. 2012, Astrophys. J. 750, L1.Google Scholar
Luna, M., Knizhnik, K., Muglach, K. et al. 2014, Astrophys. J. 785, 79.Google Scholar
Luna, M., Su, Y., Schmieder, B., Chandra, R. and Kucera, T. A. 2017, Astrophys. J. 850, 143.Google Scholar
Mackay, D. H., Karpen, J. T., Ballester, J. L., Schmieder, B. and Aulanier, G. 2010, Space Sci. Rev. 151, 333.Google Scholar
Macnamara, C. K. 2011, PhD Thesis, University of St Andrews, St Andrews.Google Scholar
Macnamara, C. K. and Roberts, B. 2010, Astron. Astrophys. 515, A41.Google Scholar
Martin, S. F. 2001. In Encyclopedia of Astronomy and Astrophysics, ed. P. Murdin (Institute of Physics, Nature Publishing Group, London), p. 2698.Google Scholar
Mather, J. F. and Erdélyi, R. 2016, Astrophys. J. 822, 116.Google Scholar
Matsuno, Y. 1984, Bilinear Transformation Method (Academic Press, New York).Google Scholar
McEwan, M. P., Díaz, A. J. and Roberts, B. 2008, Astron. Astrophys. 481, 819.Google Scholar
McEwan, M. P., Donnelly, G. R., Díaz, A. J. and Roberts, B. 2006, Astron. Astrophys. 460, 893.Google Scholar
McKenzie, J. F. 1970, Geophys. Res., Space Phys. 75, 5331.Google Scholar
Meerson, B. I., Sasorov, P. V. and Stepanov, A. V. 1978, Solar Phys. 58, 165.Google Scholar
Merzljakov, E. G. and Ruderman, M. S. 1985, Solar Phys. 95, 51.Google Scholar
Miles, A. J. and Roberts, B. 1992, Solar Phys. 141, 205.Google Scholar
Mikhalyaev, B. B. 2005, Astron. Lett. 31, 406.Google Scholar
Mikhalyaev, B. B. and Khongorova, O. V. 2012, Astron. Lett. 38, 667.CrossRefGoogle Scholar
Mikhalyaev, B. B. and Ruderman, M. S. 2015, J. Plasma Phys. 81, 905810611.Google Scholar
Mikhalyaev, B. B. and Solov’ev, A. A. 2005, Solar Phys. 227, 249.Google Scholar
Moffatt, H. K. 1978, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge).Google Scholar
Moffatt, H. K. and Kamkar, H. 1983. In Stellar and Planetary Magnetism, ed. Soward, A. D. (Gordon and Breach, New York), p. 91.Google Scholar
Molotovshchikov, A. L. and Ruderman, M. S. 1987, Solar Phys. 109, 247.Google Scholar
Moreels, M. G., Freij, R., Erdélyi, R., Van Doorsselaere, T. and Verth, G. 2015, Astron. Astrophys. 579, A73.Google Scholar
Moreels, M. G., Goossens, M. and Van Doorsselaere, T. 2013, Astron. Astrophys. 555, A75.Google Scholar
Moreels, M. G. and Van Doorsselaere, T. 2013, Astron. Astrophys. 551, A137.Google Scholar
Moreno-Insertis, F. and Spruit, H. C. 1989, Astrophys. J. 342, 1158.Google Scholar
Morse, P. M. and Feshbach, H. 1953, Methods of Theoretical Physics (McGraw-Hill, New York).Google Scholar
Morton, R. J., Erdélyi, R., Jess, D. B. and Mathioudakis, M. 2011, Astrophys. J. Lett. 729, L18.CrossRefGoogle Scholar
Morton, R. J., Verth, G., Jess, D. B. et al. 2012, Nature Communications 3, 1315.Google Scholar
Murawski, K. and Roberts, B. 1993a, Solar Phys. 144, 101.Google Scholar
Murawski, K. and Roberts, B. 1993b, Solar Phys. 144, 255.Google Scholar
Murawski, K. and Roberts, B. 1994, Solar Phys. 151, 305.Google Scholar
Nakariakov, V. M., Arber, T. D., Ault, C. E. et al. 2004, Mon. Not. Roy. Astron. Soc. 349, 705.CrossRefGoogle Scholar
Nakariakov, V. M., Hornsey, C. and Melnikov, V. F. 2012, Astrophys. J. 761, 134, doi:10.1088/0004-637X/761/2/134.CrossRefGoogle Scholar
Nakariakov, V. M. and Melnikov, V. F. 2009, Space Sci. Rev. 149, 119.Google Scholar
Nakariakov, V. M., Melnikov, V. F. and Reznikova, V. E. 2003, Astron. Astrophys. 412, L7.Google Scholar
Nakariakov, V. M. and Ofman, L. 2001, Astron. Astrophys. 372, L53.CrossRefGoogle Scholar
Nakariakov, V. M., Ofman, L., DeLuca, E. E., Roberts, B. and Davila, J. M. 1999, Science 285, 862.Google Scholar
Nakariakov, V. M. and Oraevsky, V. N. 1995, Solar Phys. 160, 289.Google Scholar
Nakariakov, V. M., Pascoe, D. J. and Arber, T. D. 2005, Space Sci. Rev. 121, 115.Google Scholar
Nakariakov, V. M., Pilipenko, V., Heilig, B., et al. 2016, Space Sci. Rev. 200, 75.Google Scholar
Nakariakov, V. M. and Roberts, B. 1995, Solar Phys. 159, 399.Google Scholar
Nakariakov, V. M. and Roberts, B. 1999, Phys. Lett. A 254, 314.Google Scholar
Nakariakov, V. M., Roberts, B. and Murawski, K. 1997, Solar Phys. 175, 93.Google Scholar
Nakariakov, V. M. and Verwichte, E. 2005, Living Rev. Solar Phys. 2, 3.Google Scholar
Nakariakov, V. M., Verwichte, E., Berghmans, D. and Robbrecht, E. 2000, Astron. Astrophys. 362, 1151.Google Scholar
Narayanan, A. S. 2013, An Introduction to Waves and Oscillations in the Sun (Springer, New York).Google Scholar
Nayfeh, A. H. 1973, Perturbation Methods (John Wiley and Sons, New York).Google Scholar
Ning, Z., Cao, W., Okamoto, T. J., Ichimoto, K. and Qu, Z. Q. 2009, Astron. Astrophys. 499, 595.Google Scholar
Nisticó, G., Anfinogentov, S. and Nakariakov, V. M. 2014, Astron. Astrophys. 570, A84.Google Scholar
Nocera, L., Leroy, B. and Priest, E. R. 1984, Astron. Astrophys. 133, 387.Google Scholar
Ofman, L. and Wang, T. J. 2002, Astrophys. J. 580, L85.Google Scholar
Okamoto, T. J., Tsuneta, S., Berger, T. E. et al. 2007, Science 318, 1577.Google Scholar
Oliver, R. 2001. In INTAS Workshop on MHD Waves in Astrophysical Plasmas, eds. Ballester, J. L. and Roberts, B., University de les Illes Balears, Palma de Mallorca, p. 133.Google Scholar
Oliver, R. 2009, Space Sci. Rev. 149, 175.Google Scholar
Oliver, R. and Ballester, J. L. 2002, Solar Phys. 206, 45.Google Scholar
Oliver, R., Ballester, J. L., Hood, A. W. and Priest, E. R. 1992, Astrophys. J. 400, 369.Google Scholar
Oliver, R., Ballester, J. L., Hood, A. W. and Priest, E. R. 1993, Astrophys. J. 409, 809.Google Scholar
Oliver, R., Ruderman, M. S. and Terradas, J. 2014, Astrophys. J. 789, 48.CrossRefGoogle Scholar
Oliver, R., Ruderman, M. S. and Terradas, J. 2015, Astrophys. J. 806, 56.Google Scholar
Ono, H. 1975, J. Phys. Soc. Japan 39, 1082.Google Scholar
Osterbrock, D. E. 1961, Astrophys. J. 134, 347.Google Scholar
Ott, E. and Sudan, R. N. 1970, Phys. Fluids 13, 1432.Google Scholar
Parker, E. N. 1974, Astrophys. J. 189, 563.Google Scholar
Parker, E. N. 1978, Astrophys. J. 221, 368.Google Scholar
Parker, E. N. 1979a, Cosmical Magnetic Fields (Oxford University Press, Oxford).Google Scholar
Parker, E. N. 1979b, Astrophys. J. 230, 905.Google Scholar
Parker, E. N. 1991, Astrophys. J. 376, 355.Google Scholar
Parker, E. N. 2007, Conversations on Electric and Magnetic Fields in the Cosmos (Princeton University Press, Princeton).Google Scholar
Pascoe, D. J. 2014, Res. Astron. Astrophys. 14, 805.CrossRefGoogle Scholar
Pascoe, D. J., Anfinogentov, S. A., Goddard, C. R. and Nakariakov, V. M. 2018, Astrophys. J. 860, A31.Google Scholar
Pascoe, D. J., Goddard, C. R. and Nakariakov, V. M. 2016, Astron. Astrophys. 593, A53.Google Scholar
Pascoe, D. J., Hood, A. W., De Moortel, I. and Wright, A. N. 2012, Astron. Astrophys. 539, A37.Google Scholar
Pascoe, D. J., Hood, A. W., De Moortel, I. and Wright, A. N. 2013, Astron. Astrophys. 551, A40.Google Scholar
Pascoe, D. J., Nakariakov, V. M. and Arber, T. D. 2007, Astron. Astrophys. 461, 1149.CrossRefGoogle Scholar
Pascoe, D. J., Nakariakov, V. M. and Kupriyanova, E. G. 2013, Astron. Astrophys. 560, A97.Google Scholar
Pekeris, C. L. 1948, Geol. Soc. Am. Memoir 27.Google Scholar
Pinter, B., Cadez, V. M. and Goossens, M. 1998, Astron. Astrophys. 332, 775.Google Scholar
Pinter, B. and Erdélyi, R. 2018, Adv. Space Res. 61, 759.Google Scholar
Poularikas, A. D. 1999, The Hilbert Transform: The Handbook of Formulas and Tables for Signal Processing (CRC Press, Boca Raton).Google Scholar
Priest, E. 2014, Magnetohydrodynamics of the Sun (Cambridge University Press, Cambridge).Google Scholar
Priest, E. R. 1982, Introduction to Solar Magnetohydrodynamics (D. Reidel, Dordrecht).Google Scholar
Priest, E. R. and Forbes, T. G. 2000, Magnetic Reconnection: MHD Theory and Applications (Cambridge University Press, Cambridge).Google Scholar
Rae, I. C. and Roberts, B. 1981, Geophys. Astrophys. Fluid Dynamics 18, 197.Google Scholar
Rae, I. C. and Roberts, B. 1982, Astrophys. J. 256, 761.Google Scholar
Rayleigh, Lord 1877, The Theory of Sound, two volume edition 1945 (Dover Publications, New York).Google Scholar
Régnier, S., Solomon, J. and Vial, J. C. 2001, Astron. Astrophys. 376, 292.Google Scholar
Régnier, S., Solomon, J., Vial, J. C. and Mein, P. 2002, in SOLMAG 2002, IAU Colloquium. 188, ESA SP-505, Santorini, p. 647.Google Scholar
Robbrecht, E., Verwichte, E., Berghmans, D. et al. 2001, Astron. Astrophys. 370, 591.Google Scholar
Roberts, B. 1980, Annales de Physique 5, 453.Google Scholar
Roberts, B. 1981a. In The Physics of Sunspots, eds. Cram, L. E. and Thomas, J. H., Sacramento Peak Observatory, Sunspot, New Mexico, p. 369.Google Scholar
Roberts, B. 1981b, Solar Phys. 69, 27.Google Scholar
Roberts, B. 1981c, Solar Phys. 69, 39.Google Scholar
Roberts, B. 1984. In Trends in Physics 1984, eds. Janta, J. and Pantoflicek, J., Proc, 6th General Conf. European Phys. Soc., Prague, p. 177.Google Scholar
Roberts, B. 1985a, Phys. Fluids 28, 3280.Google Scholar
Roberts, B. 1985b. In Solar System Magnetic Fields, ed. Priest, E. R. (D. Reidel, Dordrecht), chap. 3, p. 37.Google Scholar
Roberts, B. 1988. In Cometary and Solar Plasma Physics, ed. Buti, B. (World Scientific, Singapore), p. 1.Google Scholar
Roberts, B. 1991a, Geophys. Astrophys. Fluid Dynamics 62, 83.Google Scholar
Roberts, B. 1991b. In Advances in Solar System Magnetohydrodynamics, eds. Priest, E. R. and Hood, A. W. (Cambridge University Press, Cambridge), chap. 6.Google Scholar
Roberts, B. 1992. In Sunspots: Theory and Observations, eds. Thomas, J. H. and Weiss, N. O., NATO ASI Series (Kluwer, Dordrecht), p. 303.Google Scholar
Roberts, B. 1996, Bull. Astron. Soc. India 24, 199.Google Scholar
Roberts, B. 2000, Solar Phys. 193, 139.Google Scholar
Roberts, B. 2004. In SoHO 13, Waves, Oscillations and Small Scale Transient Events in the Solar Atmosphere: A Joint View From SoHO and TRACE, eds. Erdélyi, R., Ballester, J. L. and Fleck, B., ESA SP-547, p. 1.Google Scholar
Roberts, B. 2006, Phil. Trans. Roy. Soc. A 364, 447.Google Scholar
Roberts, B. 2008. In Waves and Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology, eds. Erdélyi, R. and Mendoza-Briceno, C. A., IAU Symposium 247, p.3.Google Scholar
Roberts, B. and Campbell, W. R. 1986, Nature 323, 603.Google Scholar
Roberts, B., Edwin, P. M. and Benz, A. O. 1983, Nature 305, 688.Google Scholar
Roberts, B., Edwin, P. M. and Benz, A. O. 1984, Astrophys. J. 279, 857.Google Scholar
Roberts, B. and Joarder, P. S. 1994. In Advances in Solar Physics, eds. G. Belvedere, Rodono, M. and Simnett, G. M., (Springer-Verlag, Berlin), p. 173.Google Scholar
Roberts, B. and Mangeney, A. 1982, Mon. Not. Roy. Astron. Soc. 198, 7P.Google Scholar
Roberts, B. and Nakariakov, V. M. 2003. In Turbulence, Waves and Instabilities in the Solar Plasma, eds. Erdélyi, R., Petrovay, K., Roberts, B. and Aschwanden, M. J., Nato Advanced Research Workshop, NATO ASI Series (Kluwer, Dordrecht), p. 167.Google Scholar
Roberts, B. and Webb, A. R. 1978, Solar Phys. 56, 5.Google Scholar
Roberts, B. and Webb, A. R. 1979, Solar Phys. 64, 77.Google Scholar
Roberts, P. H. 1967, An Introduction to Magnetohydrodynamics (Longmans, London).Google Scholar
Rosenberg, H. 1970, Astron. Astrophys. 9, 159.Google Scholar
Rosenberg, H. 1972, Solar Phys. 25, 188.Google Scholar
Ruderman, M. S. 1992, J. Plasma Phys. 47, 175.Google Scholar
Ruderman, M. S. 2005, Phys. Plasmas 12, 034701.Google Scholar
Ruderman, M. S. 2006, Phil. Trans. Roy. Soc. 364, 485.Google Scholar
Ruderman, M. S. 2007, Solar Phys. 246, 119.Google Scholar
Ruderman, M. S. 2013, Astron. Astrophys. 553, A23.Google Scholar
Ruderman, M. S. 2015, Astron. Astrophys. 575, A130.Google Scholar
Ruderman, M. S. and Erdélyi, R. 2009, Space Sci. Rev. 149, 199.Google Scholar
Ruderman, M. S. and Goossens, M. 1996, Astrophys. J. 471, 1015.Google Scholar
Ruderman, M. S., Goossens, M. and Andries, J. 2010, Physics of Plasmas 17, 082108-1.Google Scholar
Ruderman, M. S. and Luna, M. 2016, Astron. Astrophys. 591, A131.Google Scholar
Ruderman, M. S. Nakariakov, V. M. and Roberts, B. 1998, Astron. Astrophys. 338, 1118.Google Scholar
Ruderman, M. S., Petrukhin, N. S. and Pelinovsky, E. 2016, Solar Phys. 291, 1143.Google Scholar
Ruderman, M. S. and Roberts, B. 2002, Astrophys. J. 577, 475.Google Scholar
Ruderman, M. S. and Terradas, J. 2013, Astron. Astrophys. 555, A27.Google Scholar
Ruderman, M. S., Tirry, W. and Goossens, M. 1995, J. Plasma Phys. 54, 129.Google Scholar
Ruderman, M. S., Verth, G. and Erdélyi, R. 2008, Astrophys. J. 686, 694.Google Scholar
Russell, A. J. B. 2018, Solar Phys. 293, 83.Google Scholar
Ryutova, M. 2015, Physics of Magnetic Flux Tubes, Astrophysics and Space Science Library, Volume 417 (Springer-Verlag, Berlin).Google Scholar
Ryutova, M. and Sakai, J. 1993, JETP Lett. 58, 507.Google Scholar
Ryutov, D. D. and Ryutova, M. P. 1976, Sov. Phys. JETP 43, 491.Google Scholar
Sakurai, T., Goossens, M. and Hollweg, J. V. 1991, Solar Phys. 133, 227.Google Scholar
Scheuer, M. A. and Thomas, J. H. 1981, Solar Phys. 71, 21.Google Scholar
Schrijver, C. J., Aschwanden, M. J. and Title, A. M. 2002, Solar Phys. 206, 69.Google Scholar
Schrijver, C. J. and Brown, D. S. 2000, Astrophys. J. Lett. 537, L69.Google Scholar
Schwartz, S. J. and Leroy, B. 1982, Astron. Astrophys. 112, 93.Google Scholar
Sedlacek, Z. 1971, J. Plasma Phys. 5, 239.Google Scholar
Shercliff, J. A. 1965, A Textbook of Magnetohydrodynamics (Pergamon Press, Oxford).Google Scholar
Shestov, S., Nakariakov, V. M. and Kuzin, S. 2015, Astrophys. J. 814, 135.Google Scholar
Sigalotti, L. D. G., Mendoza-Briceño, C. A. and Luna-Cardoza, M. 2007, Solar Phys. 246, 187.Google Scholar
Smith, P. D., Tsiklauri, D. and Ruderman, M. S. 2007, Astron. Astrophys. 475, 1111.Google Scholar
Solanki, S. K. 2003, Astron, Astrophys. Review 11, 153.Google Scholar
Soler, R., Goossens, M. and Ballester, J. L. 2015, Astron. Astrophys. 575, A123.Google Scholar
Soler, R., Goossens, M., Terradas, J. and Oliver, R. 2013, Astrophys. J. 777, 158.Google Scholar
Soler, R., Oliver, R., Ballester, J. L. and Goossens, M. 2009, Astrophys. J. 695, L166.Google Scholar
Southwood, D. J. 1974, Planet. Space Sci. 22, 483.Google Scholar
Southwood, D. J., Cowley, S. W. H. and Mitton, S. (eds.) 2015, Magnetospheric Plasma Physics: The Impact of Jim Dungey’s Research, Astrophysics and Space Science Proceedings, Volume 41 (Springer, Switzerland).Google Scholar
Spitzer, L. 1956, Physics of Fully Ionized Gases (Interscience, New York).Google Scholar
Spruit, H. C. 1979, Solar Phys. 61, 363.Google Scholar
Spruit, H. C. 1981, Astron. Astrophys. 98, 155.Google Scholar
Spruit, H. C. 1982, Solar Phys. 75, 3.Google Scholar
Spruit, H. C. and Roberts, B. 1983, Nature 304, 401.Google Scholar
Spruit, H. C. and Zweibel, E. G. 1979, Solar Phys. 62, 15.Google Scholar
Stix, M. 2004, Astron. Astrophys. 415, 751.Google Scholar
Stokes, G. G. 1845, Trans. Cambridge Phil. Soc. 8, 287.Google Scholar
Sutmann, G., Musielak, Z. E. and Ulmschneider, P. 1998, Astron. Astrophys. 340, 556.Google Scholar
Sych, R. A. 2016. In Low-Frequency Waves in Space Plasmas, eds. A. Keiling, Lee, D.-H. and Nakariakov, V., Geophysical Monograph 216, American Geophysical Union (John Wiley & Sons, New York), p. 467.Google Scholar
Taniuti, T. and Wei, C.-C. 1968, J. Phys. Soc. Japan 24, 941.Google Scholar
Tataronis, J. and Grossmann, W. 1973, Z. Physik 261, 203.Google Scholar
Terradas, J., Arregui, I., Oliver, R. and Ballester, J. L. 2008, Astrophys. J. 678, L153.Google Scholar
Terradas, J. and Goossens, M. 2012, Astron. Astrophys. 548, A112.Google Scholar
Terradas, J., Goossens, M. and Verth, G. 2010, Astron. Astrophys. 524, A23.Google Scholar
Terradas, J., Oliver, R. and Ballester, J. L. 2005, Astron. Astrophys. 441, 371.Google Scholar
Terradas, J., Oliver, R. and Ballester, J. L. 2006, Astrophys. J. 642, 533.Google Scholar
Tirry, W J. and Goossens, M. 1996, Astrophys. J. 471, 501.Google Scholar
Tirry, W. J., Goossens, M., Pinter, B., Cadez, V. and Vanlommel, P. 1998, Astrophys. J. 503, 422.Google Scholar
Thomas, J. H. 1981. In The Physics of Sunspots, eds. Cram, L. E. and Thomas, J. H., (Sacramento Peak Observatory, Sunspot, New Mexico), p. 345.Google Scholar
Thomas, J. H. 1985, Aust. J. Phys. 38, 811.Google Scholar
Thomas, J. H. and Weiss, N. O., 2008, Sunspots and Starspots (Cambridge University Press, Cambridge).Google Scholar
Tomczyk, S. and McIntosh, S. W. 2009, Astrophys. J. 697, 1384.Google Scholar
Tomczyk, S., McIntosh, S. W., Keil, S. L., et al. 2007, Science 317, 1192.Google Scholar
Tripathi, D., Isobe, H. and Jain, R. 2009, Space Sci. Rev. 149, 283.Google Scholar
Tsiklauri, D. and Nakariakov, V. M. 2001, Astron. Astrophys. 379, 1106.Google Scholar
Uberoi, C. 1972, Phys. Fluids 15, 1673.Google Scholar
Uberoi, C. and Somasundaram, K. 1980, Plasma Phys. 22, 747.Google Scholar
Uchida, Y. 1970, Publ. Astron. Soc. Japan 22, 341.Google Scholar
Van de Hulst, H. 1951, Problems of Cosmical Aerodynamics (Symposium), Dayton, Ohio, Central Document Office.Google Scholar
Van Doorsselaere, T., Andries, J., Poedts, S. and Goossens, M. 2004, Astrophys. J. 606, 1223.Google Scholar
Van Doorsselaere, T., Kupriyanova, E. G. and Yuan, D. 2016, Solar Phys. 291, 3143.Google Scholar
Van Doorsselaere, T., Nakariakov, V. M. and Verwichte, E. 2007, Astron. Astrophys. 473, 959.Google Scholar
Vasheghani Farahani, S., Hornsey, C., Van Doorsselaere, T. and Goossens, M. 2014, Astrophys. J. 781, 92.Google Scholar
Verth, G. and Erdélyi, R. 2008, Astron. Astrophys. 486, 1015.Google Scholar
Verwichte, E., Nakariakov, V. M. and Cooper, F. C. 2005, Astron. Astrophys. 430, L65.Google Scholar
Verwichte, E., Nakariakov, V. M., Ofman, L. and Deluca, E. E. 2004, Solar Phys. 233, 77.Google Scholar
Walker, A. D. M. 2005, Magnetohydrodynamic Waves in Geospace (Institute of Physics, Bristol).Google Scholar
Wang, T. J. 2004. In SoHO 13, Waves, Oscillations and Small Scale Transient Events in the Solar Atmosphere: A Joint View From SoHO and TRACE, eds. Erdélyi, R., Ballester, J. L. and Fleck, B., ESA SP-547, p. 417.Google Scholar
Wang, T. J. 2016. In Low-Frequency Waves in Space Plasmas, eds. Keiling, A., Lee, D.-H. and Nakariakov, V. M., Geophysical Monograph 216, American Geophysical Union (John Wiley and Sons, New York), p. 395.Google Scholar
Wang, T. J., Innes, D. E. and Qiu, J. 2007, Astrophys. J. 656, 598.Google Scholar
Wang, T. J., Ofman, L., Sun, X., Provornikova, E. and Davila, J. M. 2015, Astrophys. J. Lett. 811, L13.Google Scholar
Wang, T. J., Solanki, S. K., Curdt, W., Innes, D. E. and Dammasch, I. E. 2002, Astrophys. J. 574, L101.Google Scholar
Wang, T. J., Solanki, S. K., Curdt, W., Innes, D. E., Dammasch, I. E. and Kliem, B. 2003a, Astron. Astrophys. 406, 1105.Google Scholar
Wang, T. J., Solanki, S. K., Innes, D. E., Curdt, W. and Marsch, E. 2003b, Astron. Astrophys. 402, L17.Google Scholar
Watson, G. N. 1995, A Treatise on the Theory of Bessel Functions (Cambridge University Press, Cambridge).Google Scholar
Webb, A. R. 1980, PhD thesis, University of St Andrews, St Andrews.Google Scholar
Webb, A. R. and Roberts, B. 1978, Solar Phys. 59, 249.Google Scholar
Weiss, N. O. and Proctor, M. R. E. 2014, Magnetoconvection (Cambridge University Press, Cambridge).Google Scholar
Weisshaar, E. 1989, Phys. Fluids A1, 1406.Google Scholar
Weisstein, E. W. “Convective Operator”. From MathWorld – A Wolfram Web Resource. http://mathworld.wolfram.com/ConvectiveOperator.html.Google Scholar
Weisstein, E. W. “Hilbert Transform”. From MathWorld – A Wolfram Web Resource. http://mathworld.wolfram.com/HilbertTransform.html.Google Scholar
Wentzel, D. G. 1979, Astrophys. J. 227, 319.Google Scholar
Whitham, G. B. 1967, Proc. Roy. Soc. A299, 6.Google Scholar
Whitham, G. B. 1974, Linear and Nonlinear Waves (Wiley, New York).Google Scholar
Whittaker, E. T. and Watson, G. N. 1969, A Course of Modern Analysis (Cambridge University Press, London).Google Scholar
Williams, D. R., Mathioudakis, M., Gallagher, P. T. et al. 2002, Mon. Not. Roy. Astron. Soc. 336, 747.Google Scholar
Williams, D. R., Phillips, K. J. H., Rudawy, P. et al. 2001, Mon. Not. Roy. Astron. Soc. 326, 428.Google Scholar
Wilson, P. R. 1980, Astron. Astrophys. 87, 121.Google Scholar
Wright, A. N. and Mann, I. R., 2006. In Magnetospheric ULF Waves: Synthesis and New Directions, eds. Takahashi, K., Chi, P. J., Denton, R. E. and Lysak, R. L. (AGU, Washington DC), AGU Geophysical Monograph Series 169, p. 51.Google Scholar
Yu, D. J., Van Doorssellaere, T. and Goossens, M. 2017, Astron. Astrophys. 602, A108.Google Scholar
Yu, H., Li, B., Chen, S.-X. and Guo, M.-Z. 2015, Astrophys. J. 814, 60.Google Scholar
Zaitsev, V. V. and Stepanov, A. V. 1975, Issled. Geomag. Aeron. Fiz. Solntsa 37, 3.Google Scholar
Zaitsev, V. V. and Stepanov, A. V. 2008, Physics Uspekhi 51, 1123.Google Scholar
Zaqarashvili, T. V., Kukhianidze, V. and Khodachenko, M. L. 2010, Mon. Not. Roy. Astron. Soc. Lett. 404, 74.Google Scholar
Zhang, Q.-H., Wang, Y.-M., Lui, R. et al. 2016, Res. Astron. Astrophys. 16, 167.Google Scholar
Zhugzhda, Y. D. 1979, Astron. Zhurnal 56, 74.Google Scholar
Zhugzhda, Y. D. 1996, Phys. Plasmas 3, 10.Google Scholar
Zhugzhda, Y. D. 2000, Physica Scripta T84, 159.Google Scholar
Zhugzhda, Y. D. 2002, Phys. Plasmas 9, 971.Google Scholar
Zhugzhda, Y. D. 2004, Phys. Plasmas 11, 2256.Google Scholar
Zhugzhda, Y. D. 2005, Plasma Phys. Rep. 31, 730.Google Scholar
Zhugzhda, Y. D. 2018, Astron. Lett. 44, 331.Google Scholar
Zhugzhda, Y. D. and Dzhalilov, N. S. 1982, Astron. Astrophys. 112, 16.Google Scholar
Zhugzhda, Y. D. and Goossens, M. 2001, Astron. Astrophys. 377, 330.Google Scholar
Zhugzhda, Y. D. and Nakariakov, V. M. 1997, Phys. Lett. A 233, 413.Google Scholar
Zhugzhda, Y. D. and Sych, R. A. 2014, Astron. Lett. 40, 576.Google Scholar
Zhugzhda, Y. D. and Sych, R. A. 2018, Res. Astron. Astrophys. 18, 105.Google Scholar
Zirin, H. and Stein, A. 1972, Astrophys. J. 178, L85.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • References
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • References
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
Available formats
×