Spatially periodic, force-free magnetic fields with resistive decay
Author:
Rudolf X. Meyer
Journal:
Quart. Appl. Math. 40 (1983), 377-384
MSC:
Primary 78A25; Secondary 78A55, 85A20
DOI:
https://doi.org/10.1090/qam/693873
MathSciNet review:
693873
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Abstract: Force-free magnetic fields, i.e. fields that are either parallel or antiparallel to the electric current, occur in the solar chromosphere and also have been used in certain magnetic confinement schemes in controlled thermonuclear fusion research. In this paper, we derive a general expression for force-free fields that decay resistively and are spatially periodic.
- S. Chandrasekhar and P. C. Kendall, On force-free magnetic fields, Astrophys. J. 126 (1957), 457–460. MR 88988, DOI https://doi.org/10.1086/146413
- D. Voslamber and D. K. Callebaut, Stability of force-free magnetic fields, Phys. Rev. (2) 128 (1962), 2016–2021. MR 144722
A. B. Severnyi, Magnetic fields at various depths in the solar atmosphere, Astronomicheskii Zhurnal 43, 465–479 (1966), translated in Soviet Astronomy AJ. 10(3) (1966)
Y. Nakagawa, M. A. Raadu, D. E. Billings, and D. McNamara, On the topology of filaments and chromospheric fibrils near sunspots, Solar Physics 19, 72–85 (1971)
- S. Lundquist, Magneto-hydrostatic fields, Ark. Fys. 2 (1950), 361–365. MR 40994
A. D. Jette, Force-free magnetic fields in resistive magnetohydrostatics, J. Math. Anal. Appl. 29, 109–122 (1970). See also A. D. Jeete and S. R. Sreenivasan, Resistive force-free magnetic fields, Phys. Fluids 12, 2544–2547 (1969)
R. Courant and D. Hilbert, Methods of mathematical physics, vol. 2, Interscience Publishers, New York, 1962, p. 199
- K. Oswatitsch, Physikalische Grundlagen der Strömungslehre, Handbuch der Physik (herausgegeben von S. Flügge), Bd. 8/1, Strömungsmechanik I (Mitherausgeber C. Truesdell), Springer-Verlag, Berlin-Göttingen-Heidelberg, 1959, pp. 1–124 (German). MR 0108115
S. Chandrasekhar and P. C. Kendall, On force-free magnetic fields, Astrophys. J. 126, 457–460 (1957)
D. Voslamber and D. K. Callebaut, Stability of force-free magnetic fields, Phys. Rev. 128, 2016 (1961)
A. B. Severnyi, Magnetic fields at various depths in the solar atmosphere, Astronomicheskii Zhurnal 43, 465–479 (1966), translated in Soviet Astronomy AJ. 10(3) (1966)
Y. Nakagawa, M. A. Raadu, D. E. Billings, and D. McNamara, On the topology of filaments and chromospheric fibrils near sunspots, Solar Physics 19, 72–85 (1971)
S. Lundquist, Magneto-hydrostatic fields, Arkiv Fysik 2, 361 (1950)
A. D. Jette, Force-free magnetic fields in resistive magnetohydrostatics, J. Math. Anal. Appl. 29, 109–122 (1970). See also A. D. Jeete and S. R. Sreenivasan, Resistive force-free magnetic fields, Phys. Fluids 12, 2544–2547 (1969)
R. Courant and D. Hilbert, Methods of mathematical physics, vol. 2, Interscience Publishers, New York, 1962, p. 199
J. Serrin, Mathematical principles of classical fluid mechanics in Handbuch der Physik, S. Flügge, Ed., Vol. VIII/1, Springer, Berlin, 1959, p. 43
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Article copyright:
© Copyright 1983
American Mathematical Society
