Solar Physics

, Volume 105, Issue 2, pp 307–312

Photospheric line-tying conditions for the MHD stability of coronal magnetic fields

  • A. W. Hood


Using the localised, ballooning ordering, the effect of a density stratification on the ideal MHD stability of magnetic fields is investigated. It is found that, when the photospheric density is very much greater than the coronal value, the line tying conditons are best simulated by assuming that all coronal disturbances vanish at the photospheric boundary. This is commonly known as the rigid wall conditions.


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  1. An, C. H.: 1982, Solar Phys. 75, 19.Google Scholar
  2. Anzer, U.: 1968, Solar Phys. 3, 298.Google Scholar
  3. Bender, C. and Orczag, S.: 1984, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York.Google Scholar
  4. Cargill, P., Hood, A. W., and Migliuolo, S.: 1986, Astrophys. J., in press.Google Scholar
  5. Dewar, R. and Glasser, A.: 1983, Phys. Fluids 26, 3039.Google Scholar
  6. Einaudi, G. and Van Hoven, G.: 1981, Phys. Fluids 24, 1092.Google Scholar
  7. Einaudi, G. and Van Hoven, G.: 1983, Solar Phys. 88, 163.Google Scholar
  8. Hood, A. W.: 1983, Solar Phys. 89, 235.Google Scholar
  9. Hood, A. W.: 1984, Geophys. Astrophys. Fluid Dynamics 28, 223.Google Scholar
  10. Hood, A. W.: 1986, Solar Phys. 103, 329.Google Scholar
  11. Hood, A. W. and Priest, E. R.: 1979, Solar Phys. 64, 303.Google Scholar
  12. Hood, A. W. and Priest, E. R.: 1980, Solar Phys. 66, 113.Google Scholar
  13. Hood, A. W. and Priest, E. R.: 1981, Geophys. Astrophys. Fluid Dynamics 17, 297.Google Scholar
  14. Migliuolo, S., Cargill, P., and Hood, A. W.: 1984, Astrophys. J. 271, 820.Google Scholar
  15. Raadu, M.: 1972, Solar Phys. 22, 425.Google Scholar
  16. Rosner, R., Low, B. C., and Tolzer, T. E.: 1984, in P. Sturrock, T. Holzer, D. Mihalas, and R. Ulrich (eds.), Physics of the Sun, D. Reidel Publ. Co., Dordrecht, Holland.Google Scholar
  17. Schindler, K., Janicke, L., and Birn, J.: 1983, Solar Phys. 87, 103.Google Scholar
  18. Zweibel, E.: 1985, Geophys. Astrophys. Fluid Dynamics 32, 317.Google Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • A. W. Hood
    • 1
  1. 1.Department of Applied MathematicsThe UniversitySt. AndrewsScotland

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