Lagrangean structure of hydrodynamic plasma models and conservation laws

Plasma Physics Reports

Volumn 25, Issue 1, 1999, Pages 58-69

  Ilgisonis, V I ^a   Lakhin, V P ^a  

^a KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033249356     PISSN: 1063780X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. Bernstein, I.B., Frieman, E.A., Kruskal, M.D., and Kulsrud, R.M., Proc. R. Soc. London, Ser.: A, 1958, vol. 244, p. 17.
2. Bernstein, A., Osnovy fiziki plazmy (Basic Plasma Physics), Galeev, A.A. and Sudan, R.V., Eds., Moscow: Energoatomizdat, 1983, vol. 1, p. 365.
3. Il'gisonis, V.I. and Pastukhov, V.P., Pis'ma Zh. Eksp. Teor. Fiz., 1995, vol. 61, p. 186 [JETP Lett. (Engl. transl.), vol. 61, p. 189].
4. Il'gisonis, V.I. and Pastukhov, V.P., Pis'ma Zh. Eksp. Teor. Fiz., 1995, vol. 61, p. 186 [JETP Lett. (Engl. transl.), vol. 61, p. 189].
5. Frieman, E. and Rotenberg, M., Rev. Mod. Phys., 1960, vol. 32, p. 898.
6. Hameiri, E. and Holties, H.A., Phys. Plasmas, 1994, vol. 1, p. 3807.
7. Ilgisonis, V.I. and Pastukhov, V.P., Fiz. Plazmy, 1996, vol. 22, p. 228 [Plasma Phys. Rep. (Engl. transl.), vol. 22, p. 208].
8. Ilgisonis, V.I. and Pastukhov, V.P., Fiz. Plazmy, 1996, vol. 22, p. 228 [Plasma Phys. Rep. (Engl. transl.), vol. 22, p. 208].
9. Rosenhaus, V. and Katzin, G.H., J. Math. Phys., 1994, vol. 35, p. 1998.
10. Boyer, T.H., Ann. Phys., 1967, vol. 42, p. 445.
11. Kuvshinov, B.A. and Schep, T.J., Phys. Plamas, 1997, vol. 4, p. 537.
12. Holm, D.D., Marsden, J.E., Ratiu, T., and Weinstein, A., Phys. Rep., 1985, vol. 123, nos. 1-2, p. 1.
13. Padhye, N. and Morrison, P.J, Fiz. Plazmy, 1996, vol. 22, p. 960 [Plasma Phys. Rep. (Engl. transl.), vol. 22, p. 869].
14. Padhye, N. and Morrison, P.J, Fiz. Plazmy, 1996, vol. 22, p. 960 [Plasma Phys. Rep. (Engl. transl.), vol. 22, p. 869].
15. Courant, R. and Hilbert, D., Methods of Mathematical Physics, New York: Interscience, 1962.
16. Serrin, J., Handbuch der Physik, Flügge, S., Ed., Berlin: Springer-Verlag, 1959, vol. 8, part 1.
17. Noether, E., Nachr. Ges. Wiss. (Göttingen), 1918, p. 235; Tavel, M.A., Transport Theory Stat. Phys., 1971, vol. 1, p. 183.
18. Noether, E., Nachr. Ges. Wiss. (Göttingen), 1918, p. 235; Tavel, M.A., Transport Theory Stat. Phys., 1971, vol. 1, p. 183.
19. Bateman, H., Proc. R. Soc. London, Ser.: A, 1929, vol. 125, p. 598.
20. Thellung, A., Physica, 1953, vol. 19, p. 217.
21. Penfield, P., Phys. Fluids, 1966, vol. 9, p. 1184.
22. Clebsh, A., Reine Angewandt. Math., 1857, vol. 54, p. 293.
23. Lin, C.C., Proc. Varenna Int. School of Physics, Careri, G., Ed., New York: Academic, 1963, vol. 21, p. 93.
24. Penfield, P. and Haus, H., Phys. Fluids, 1966, vol. 9, p. 1195.
25. Henvey, F.S., Phys. Rev. A, 1982, vol. 26, p. 480.
26. Elsässer, K., Phys. Plasmas, 1994, vol. 1, p. 3161.
27. Weber, H., Reine Angewandt. Math., 1868, vol. 68, p. 286.
28. Seliger, R.L. and Whitham, G.B., Proc. R. Soc. London, Ser. A, 1968, vol. 305, p. 1.
29. Newcomb, W., Nucl. Fusion Suppl., 1962, part 2, p. 451.
30. Kingsep, A.S., Chukbar, K.V., and Yan'kov, V.V., Voprosy teorii plazmy (Reviews of Plasma Physics), Kadomtsev, B.B., Ed., Moscow: Energoatomizdat, 1987, p. 209.
31. Ibragimov, N.H., Transformation Groups Applied to Mathematical Physics, Dordrecht: Reidel, 1985.
32. Olver, P.J., Applications of Lie Groups to Differential Equations, Berlin: Spriger-Verlag, 1986.
33. Bluman, G.W. and Kumei, S., Symmetries and Differential Equations, New York: Springer-Verlag, 1989.
34. Bocharov, A.V., Verbovetskii, A.M., Vinogradov, A.M., et al., Simmetrii i zakony sokhraneniya uravnenii matematicheskoi fiziki (Symmetries and Conservation Laws in Equations of Mathematical Physics), Moscow: Faktorial, 1997.