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Geophysical & Astrophysical Fluid Dynamics Volume 18, 1981 - Issue 3-4
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Original Articles

Surface waves and the heating of the corona

I. C. Rae Department of Applied Mathematics, University of St. Andrews, St. Andrews, Fife, Scotland
&
B. Roberts Department of Applied Mathematics, University of St. Andrews, St. Andrews, Fife, Scotland
Pages 197-226 | Received 18 Dec 1980, Accepted 18 May 1981, Published online: 18 Aug 2006

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P. S. Joarder & V. M. Nakariakov. (2006) Hydromagnetic surface waves on a tangential discontinuity. Geophysical & Astrophysical Fluid Dynamics 100:1, pages 59-83.
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L.M. B. C. Campos. (1988) On the properties of hydromagnetic waves in the vicinity of critical levels and transition layers. Geophysical & Astrophysical Fluid Dynamics 40:1-2, pages 93-132.
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Articles from other publishers (51)

L. P. Wang, Z. B. Guo, Z. J. Mao & Y. Zhang. (2023) Phase finite time singularity: On the dissolution of a surface MHD eigenmode to the Alfvén continuum. Physics of Plasmas 30:3.
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Roberto Soler. (2022) Exploring the Ideal MHD Quasi-Modes of a Plasma Interface with a Thick Nonuniform Transition. Physics 4:4, pages 1359-1370.
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Bernard Roberts. 2019. MHD Waves in the Solar Atmosphere. MHD Waves in the Solar Atmosphere.
P. J. Cargill, I. De Moortel & G. Kiddie. (2016) CORONAL DENSITY STRUCTURE AND ITS ROLE IN WAVE DAMPING IN LOOPS. The Astrophysical Journal 823:1, pages 31.
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Iñigo Arregui. (2015) Wave heating of the solar atmosphere. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373:2042, pages 20140261.
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Roberto Soler & Jaume Terradas. (2015) MAGNETOHYDRODYNAMIC KINK WAVES IN NONUNIFORM SOLAR FLUX TUBES: PHASE MIXING AND ENERGY CASCADE TO SMALL SCALES. The Astrophysical Journal 803:1, pages 43.
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Clare E. Parnell & Ineke De Moortel. (2012) A contemporary view of coronal heating. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370:1970, pages 3217-3240.
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I. Roussev, K. Galsgaard, R. Erdélyi & J. G. Doyle. (2001) Modelling of explosive events in the solar transition region in a 2D environment. Astronomy & Astrophysics 370:1, pages 298-310.
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B. Roberts. 2001. Physics of the Solar Corona and Transition Region. Physics of the Solar Corona and Transition Region 139 152 .
Peter J. Cargill. (2000) Theories of heating and particle acceleration in the solar corona. Advances in Space Research 26:11, pages 1759-1768.
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B. Roberts & P. Ulmschneider. 1997. Solar and Heliospheric Plasma Physics. Solar and Heliospheric Plasma Physics 75 101 .
L.-N. Hau & C.-A. Lin. (1995) Wave propagation in an inhomogeneous anisotropic plasma. Physics of Plasmas 2:1, pages 294-298.
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Sanjay Tyagi. (1993) Surface waves on a magnetic cylinder. Astrophysics and Space Science 209:2, pages 229-235.
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M. S. Ruderman & Marcel Goossens. (1993) Nonlinearity effects on resonant absorption of surface Alfv�n waves in incompressible plasmas. Solar Physics 143:1, pages 69-88.
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Alan J. Miles & B. Roberts. (1992) Magnetoacoustic-gravity surface waves. Solar Physics 141:2, pages 205-234.
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E. A. Fedutenko & V. I. Lapshin. (2009) The temporal helicon-wave echo in a plasma with steepened density profile. Journal of Plasma Physics 47:3, pages 431-437.
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Evgeny Fedutenko & Vladimir Lapshin. (1992) The temporal helicon-wave echo in an inhomogeneous magnetized plasma. Physica Scripta 45:4, pages 364-367.
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B. Roberts. 1992. Sunspots: Theory and Observations. Sunspots: Theory and Observations 303 331 .
P K Browning. (1991) Mechanisms of solar coronal heating. Plasma Physics and Controlled Fusion 33:6, pages 539-571.
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P. S. Cally. (2009) Phase-mixing and surface waves: a new interpretation. Journal of Plasma Physics 45:3, pages 453-479.
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Rekha Jain & B. Roberts. (1991) Magnetoacoustic surface waves at a single interface. Solar Physics 133:2, pages 263-280.
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Takashi Sakurai, Marcel Goossens & Joseph V. Hollweg. (1991) Resonant behaviour of MHD waves on magnetic flux tubes. Solar Physics 133:2, pages 227-245.
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A S Narayanan. (1991) Hydromagnetic surface waves in compressible moving cylindrical flux tubes. Plasma Physics and Controlled Fusion 33:4, pages 333-338.
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Joseph M. Davila. 1991. Mechanisms of Chromospheric and Coronal Heating. Mechanisms of Chromospheric and Coronal Heating 464 479 .
Stefaan Poedts, Marcel Gooseens & Wolfgang Kerner. 1990. Physics of Magnetic Flux Ropes. Physics of Magnetic Flux Ropes 257 262 .
M. P. Ryutova & L. G. Khijakadze. 1990. Physics of Magnetic Flux Ropes. Physics of Magnetic Flux Ropes 99 105 .
W. Allan & E. M. Poulter. (2012) Damping of magnetospheric cavity modes: A discussion. Journal of Geophysical Research: Space Physics 94:A9, pages 11843-11853.
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. (2012) The thermal catastrophe model of substorms. Journal of Geophysical Research: Space Physics 94:A6, pages 6581-6596.
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Z. Sedláček & B. Roberts. (2009) Resonance absorption of energy by a cold inhomogeneous plasma. Journal of Plasma Physics 41:1, pages 97-105.
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Stefaan Poedts, Marcel Goossens & Wolfgang Kerner. (1989) Numerical simulation of coronal heating by resonant absorption of Alfv�n waves. Solar Physics 123:1, pages 83-115.
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Alan J. Miles & B. Roberts. (1989) On the properties of magnetoacoustic surface waves. Solar Physics 119:2, pages 257-278.
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L. M. B. C. Campos. (1987) On waves in gases. Part II: Interaction of sound with magnetic and internal modes. Reviews of Modern Physics 59:2, pages 363-463.
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C Uberoi & A S Narayanan. (1986) Effect of variation of magnetic field direction of hydromagnetic surface waves. Plasma Physics and Controlled Fusion 28:11, pages 1635-1643.
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John A. Adam. (1986) Critical layer singularities and complex eigenvalues in some differential equations of mathematical physics. Physics Reports 142:5, pages 263-356.
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David J. Southwood & Margaret G. Kivelson. (2012) The effect of parallel inhomogeneity on magnetospheric hydromagnetic wave coupling. Journal of Geophysical Research: Space Physics 91:A6, pages 6871-6876.
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L. M. B. C. Campos & J. C. G. C. Leitão. 1986. Seismology of the Sun and the Distant Stars. Seismology of the Sun and the Distant Stars 281 292 .
B. Roberts. (2016) VI. The Physics of Coronal Flux Tubes. Transactions of the International Astronomical Union 19:1, pages 110-117.
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J. Heyvaerts. (2017) Energy Dissipation Mechanisms in the Solar Corona. Symposium - International Astronomical Union 107, pages 95-111.
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A. Satya Narayanan & K. Somasundaram. (1985) Alfv�n Surface Waves along coronal streamers. Astrophysics and Space Science 109:2, pages 357-364.
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J. Heyvaerts. 1984. Unstable Current Systems and Plasma Instabilities in Astrophysics. Unstable Current Systems and Plasma Instabilities in Astrophysics 95 111 .
E. R. Priest. 1985. Solar System Magnetic Fields. Solar System Magnetic Fields 1 24 .
I. C. Rae. (2009) Temporal Alfvén wave echoes in an inhomogeneous plasma. Journal of Plasma Physics 31:3, pages 395-414.
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Steven J. Schwartz & Nicole Bel. (1984) On the absence of critical levels in the solar atmosphere. Solar Physics 92:1-2, pages 133-144.
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J. A. Adam. (1984) The critical layers and other singular regions in ideal hydrodynamics and magnetohydrodynamics. Astrophysics and Space Science 105:2, pages 401-412.
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H. C. Spruit & B. Roberts. (1983) Magnetic flux tubes on the Sun. Nature 304:5925, pages 401-406.
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I C Rae. (1983) Dispersive effects for Alfven surface waves. Plasma Physics 25:4, pages 455-458.
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E R Priest. (1983) The magnetohydrodynamics of solar activity. Plasma Physics 25:2, pages 161-187.
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I. C. Rae & B. Roberts. (1983) Long wave dispersion relations for surface waves in a magnetically structured atmosphere. The Physics of Fluids 26:1, pages 269-274.
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H.C. Spruit. (2017) Theory of Photospheric Magnetic Fields. Symposium - International Astronomical Union 102, pages 41-60.
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H. C. Spruit. 1983. Solar and Stellar Magnetic Fields: Origins and Coronal Effects. Solar and Stellar Magnetic Fields: Origins and Coronal Effects 41 60 .
J.A. Adam. (1982) Asymptotic solutions and spectral theory of linear wave equations. Physics Reports 86:5, pages 217-316.
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