Spectral stability of Alfvén filament configurations

Physics of Plasmas

Volumn 7, Issue 6, 2000, Pages 2388-2403

  Bergmans, J ^a   Kuvshinov, B N ^a   Lakhin, V P ^a   Schep, T J ^a  

^a FOM INSTITUTE FOR PLASMA PHYSICS RIJNHUIZEN   (Netherlands)

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EID: 0006626551     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.874077     Document Type: Article

References (29)

1. G. R. Kirchhoff, Vorlesungen über Mathematische Physik (Teubner, Leipzig, 1876), Vol. I.
2. A. Hasegawa and K. Mima, Phys. Rev. Lett. 39, 205 (1977).
3. A. S. Kingsep, K. V. Chukbar, and V. V. Yan'kov, in Reviews of Plasma Physics, edited by B. Kadomtsev (Consultants Bureau, New York, 1990), Vol. 16, p. 243.
4. J. Pearl, Appl. Phys. Lett. 5, 65 (1964).
5. A. C. Fetter, P. C. Hohenberg, and P. Pincus, Phys. Rev. 147, 140 (1966).
6. K. S. Fine, A. C. Cass, W. G. Flynn, and C. F. Driscoll, Phys. Rev. Lett. 75, 3277 (1995).
7. D. Durkin and J. Fajans, Phys. Fluids 12, 289 (2000).
8. J. B. Taylor, Plasma Phys. Controlled Fusion 39, A1 (1997).
9. B. Eckhardt and H. Aref, Philos. Trans. R. Soc. London, Ser A 326, 655 (1988); H. Aref, Annu. Rev. Fluid Mech. 15, 345 (1983).
10. B. Eckhardt and H. Aref, Philos. Trans. R. Soc. London, Ser A 326, 655 (1988); H. Aref, Annu. Rev. Fluid Mech. 15, 345 (1983).
11. J. B. Weiss, A. Provenzale, and J. C. McWilliams, Phys. Fluids 10, 1929 (1998); B. N. Kuvshinov and T. J. Schep, Phys. Rev. Lett. 84, 650 (2000).
12. J. B. Weiss, A. Provenzale, and J. C. McWilliams, Phys. Fluids 10, 1929 (1998); B. N. Kuvshinov and T. J. Schep, Phys. Rev. Lett. 84, 650 (2000).
13. T. J. Schep, F. Pegoraro, and B. N. Kuvshinov, Phys. Plasmas 1, 2843 (1994).
14. V. P. Lakhin, T. J. Schep, and E. Westerhof, Phys. Plasmas 5, 3833 (1998).
15. B. N. Kuvshinov, V. P. Lakhin, F. Pegoraro, and T. J. Schep, J. Plasma Phys. 59, 727 (1998).
16. J. Bergmans, B. N. Kuvshinov, V. P. Lakhin, T. J. Schep, and E. Westerhof, Plasma Phys. Controlled Fusion 41, A709 (1999).
17. J. J. Thomson, On the Motion of Vortex Rings, Adams Prize Essay (Macmillan, London, 1883), p. 95.
18. Th. von Kármán, Phys. Z. 13, 49 (1911).
19. H. Lamb, Hydrodynamics (Cambridge University Press, London, 1932).
20. T. H. Havelock, Philos. Mag. 11, 617 (1931).
21. W. B. Morton, Proc. R. Irish. Acad. A, Math. Phys. Sci. 42, 21 (1935).
22. G. J. Mertz, Phys. Fluids 21, 1092 (1978).
23. V. K. Tkachenko, Sov. Phys. JETP 23, 1049 (1966).
24. H. J. Stewart, Quarterly Appl. Math. 1, 262 (1943); Bull. Am. Math. Soc. 51, 781 (1945).
25. H. J. Stewart, Quarterly Appl. Math. 1, 262 (1943); Bull. Am. Math. Soc. 51, 781 (1945).
26. G. K. Morikawa and E. V. Svensson, Phys. Fluids 14, 1058 (1971).
27. S. V. Bulanov, T. Zh. Esirkepov, M. Lontano, and F. Pegoraro, Plasma Phys. Rep. 23, 660 (1997).
28. J. Bergmans, B. N. Kuvshinov, V. P. Lakhin, and T. J. Schep, Phys. Scr. T84, 107 (2000).
29. 2, the result follows.