Variational approaches to the problems of plasma stability and of nonlinear plasma dynamics

JETP Letters

Volumn 72, Issue 10, 2000, Pages 530-540

  Ilgisonis, V I ^a   Pastukhov, V P ^a  

^a KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040442444     PISSN: 00213640     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1343158     Document Type: Article

References (41)

1. I. B. Bernstein, E. A. Frieman, M. D. Kruskal, and R. M. Kulsrud, Proc. R. Soc. London, Ser. A 244, 17 (1958).
2. R. Courant and D. Hilbert, Methoden der mathematischen Physik (Springer-Verlag, Berlin, 1931; Gostekhizdat, Moscow, 1951).
3. J. Serrin, Handbuch der Physik, Ed. by S. Flügge (Springer-Verlag, Berlin, 1959), Bd. VIII/1.
4. T. H. Boyer, Ann. Phys. 42, 445 (1967).
5. V. Rosenhaus and G. H. Katzin, J. Math. Phys. 35, 1998 (1994).
6. V. I. Ilgisonis and V. P. Lakhin, Fiz. Plazmy 25, 64 (1999) [Plasma Phys. Rep. 25, 58 (1999)].
7. V. I. Ilgisonis and V. P. Lakhin, Fiz. Plazmy 25, 64 (1999) [Plasma Phys. Rep. 25, 58 (1999)].
8. W. Newcomb, Nucl. Fusion Suppl. 2, 451 (1962).
9. N. Padhye and P. Morrison, Fiz. Plazmy 22, 960 (1996) [Plasma Phys. Rep. 22, 869 (1996)].
10. N. Padhye and P. Morrison, Fiz. Plazmy 22, 960 (1996) [Plasma Phys. Rep. 22, 869 (1996)].
11. V. I. Ilgisonis and V. P. Pastukhov. Fiz. Plazmy 22, 228 (1996) [Plasma Phys. Rep. 22, 208 (1996)].
12. V. I. Ilgisonis and V. P. Pastukhov. Fiz. Plazmy 22, 228 (1996) [Plasma Phys. Rep. 22, 208 (1996)].
13. E. Hameiri, J. Math. Phys. 22, 2080 (1981).
14. A. S. Kingsep, K. V. Chukbar, and V. V. Yan'kov, in Reviews of Plasma Physics, Ed. by B. B. Kadomtsev (Énergoizdat, Moscow, 1987; Consultants Bureau, New York, 1990). Vol. 16.
15. V. I. Ilgisonis and V. P. Lakhin, Electromagn. Waves Electron. Syst. 3 (2-3) (1998).
16. P. J. Olver, Applications of Lie Groups to Differential Equations (Springer-Verlag, Berlin, 1986).
17. V. P. Pastukhov, Pis'ma Zh. Éksp. Teor. Fiz. 67, 892 (1998) [JETP Lett. 67, 940 (1998)].
18. V. P. Pastukhov, Pis'ma Zh. Éksp. Teor. Fiz. 67, 892 (1998) [JETP Lett. 67, 940 (1998)].
19. V. P. Pastukhov, Fiz. Plazmy 26, 566 (2000) [Plasma Phys. Rep. 26, 529 (2000)].
20. V. P. Pastukhov, Fiz. Plazmy 26, 566 (2000) [Plasma Phys. Rep. 26, 529 (2000)].
21. B. B. Kadomtsev and O. P. Pogutse, Zh. Éksp. Teor. Fiz. 65, 575 (1973) [Sov. Phys. JETP 38, 283 (1974)].
22. B. B. Kadomtsev and O. P. Pogutse, Zh. Éksp. Teor. Fiz. 65, 575 (1973) [Sov. Phys. JETP 38, 283 (1974)].
23. B. B. Kadomtsev and O. P. Pogutse, Zh. Éksp. Teor. Fiz. 66, 2067 (1974).
24. R. White, D. Monticello, et al., in Proceedings of the 5th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Tokyo, 1974 (IAEA, Vienna, 1975). Vol. 1, p. 495.
25. H. Strauss, Phys. Fluids 19, 134 (1976).
26. H. Strauss, Nucl. Fusion 23, 649 (1983).
27. R. D. Hazeltine, M. Kotschenreuther, and P. J. Morrison, Phys. Fluids 28, 2466 (1985).
28. A. Bernstein, in Basic Plasma Physics, Ed. by A. A. Galeev and R. N. Sudan (Énergoatomizdat, Moscow, 1983: North-Holland, Amsterdam, 1983), Vol. 1.
29. V. I. Ilgisonis and V. P. Pastukhov, Pis'ma Zh. Éksp.Teor. Fiz. 61, 186 (1995) [JETP Lett. 61, 189 (1995)].
30. V. I. Ilgisonis and V. P. Pastukhov, Pis'ma Zh. Éksp.Teor. Fiz. 61, 186 (1995) [JETP Lett. 61, 189 (1995)].
31. E. Frieman and M. Rotenberg, Rev. Mod. Phys. 32, 898 (1960).
32. D. D. Holm, J.E. Marsden, T. Ratiu, and A. Weinstein, Phys. Rep. 123 (1-2), 1 (1985).
33. V. A. Gordin and V. I. Petviashvili, Zh. Éksp. Teor. Fiz. 95, 1711 (1989) [Sov. Phys. JETP 68, 988 (1989)].
34. V. A. Gordin and V. I. Petviashvili, Zh. Éksp. Teor. Fiz. 95, 1711 (1989) [Sov. Phys. JETP 68, 988 (1989)].
35. V. I. Arnold, J. Appl. Math. Mech. 29, 1002 (1965).
36. E. Hameiri and H. A. Holties, Phys. Plasmas 1, 3807 (1994).
37. V. I. Ilgisonis, Trans. Fusion Technol. 35, 170 (1999).
38. V. I. Ilgisonis, in Proceedings of the 26th EPS Conference on Controlled Fusion and Plasma Physics, Maastricht, 1999 [ESA 23J, 861 (1999)].
39. V. I. Ilgisonis, in Proceedings of the 26th EPS Conference on Controlled Fusion and Plasma Physics, Maastricht, 1999 [ESA 23J, 861 (1999)].
40. V. I. Ilgisonis, Phys. Plasmas 3, 4577 (1996).
41. V. P. Pastukhov, in Proceedings of the Joint Varenna-Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, 1998, Ed. by J. W. Connor, E. Sindoni, and J. Vaclavik (Bologna, Compositori, 1998), p. 449.