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Compressible magnetic-field reconnexion

Published online by Cambridge University Press:  13 March 2009

Eliezer Hameiri
Affiliation:
Courant Institute of Mathematical Sciences, New York, Now York 10012

Abstract

The Sonnerup solution for reconnexion about an X-type magnetic null point is modified to involve only stable shocks. However, the reconnexion process described does not originate at the line breaking point but is engineered by precise boundary conditions in the inflow region. Our solution is also valid in the compressible case. The limit on the reconnexion rate (in Mach number units) is about 1·5. A non-uniqueness of the solution raises the possibility of viewing flare phenomena as abrupt jumps to different branches of the solution.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1979

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References

REFERENCES

Chu, C. K. 1967 In Proceedings of Symposia in Applied Mathematics, vol. 18 AMS, p. 1.CrossRefGoogle Scholar
Cowley, S. W. H. 1974 J. Plasma Phys. 12, 319.CrossRefGoogle Scholar
Grad, H. 1979 to appear in Phys. Fluids.Google Scholar
Jeffrey, A. & Taniuti, T. 1964 Non-Linear Wave Propagation. Academic.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1960 Electrodynamics of Continuous Media. Porgamon.Google Scholar
Lax, P. D. 1957 Comm. Pure Appl. Math. 10, 537.CrossRefGoogle Scholar
Ludford, G. S. S. 1959 J. Fluid Mech. 5, 67.CrossRefGoogle Scholar
Petschek, H. E. 1964 NASA Spec. Publ. SP-50, 425.Google Scholar
Sonnerup, B. U. Ö. 1970 J. Plasma Phys. 4, 161.CrossRefGoogle Scholar
Vasylunas, V. M. 1975 Rev. Geophys. Space Phys. 13, 303.CrossRefGoogle Scholar
Yang, C. K. & Sonnerup, B. U. Ö. 1976 Astrophys. J. 206, 570.CrossRefGoogle Scholar
Yeh, T. & Axford, W. I. 1970 J. Plasma Phys. 4, 207.CrossRefGoogle Scholar
Yeh, T. & Dryer, M. 1973 Astrophys. J. 182, 301.CrossRefGoogle Scholar