An action principle in general relativistic magnetohydrodynamics
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 16 (1972) no. 3, pp. 133-169.
@article{AIHPA_1972__16_3_133_0,
     author = {Maugin, G\'erard A.},
     title = {An action principle in general relativistic magnetohydrodynamics},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {133--169},
     publisher = {Gauthier-Villars},
     volume = {16},
     number = {3},
     year = {1972},
     mrnumber = {302062},
     zbl = {0245.76088},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1972__16_3_133_0/}
}
TY  - JOUR
AU  - Maugin, Gérard A.
TI  - An action principle in general relativistic magnetohydrodynamics
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1972
SP  - 133
EP  - 169
VL  - 16
IS  - 3
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1972__16_3_133_0/
LA  - en
ID  - AIHPA_1972__16_3_133_0
ER  - 
%0 Journal Article
%A Maugin, Gérard A.
%T An action principle in general relativistic magnetohydrodynamics
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1972
%P 133-169
%V 16
%N 3
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1972__16_3_133_0/
%G en
%F AIHPA_1972__16_3_133_0
Maugin, Gérard A. An action principle in general relativistic magnetohydrodynamics. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 16 (1972) no. 3, pp. 133-169. http://www.numdam.org/item/AIHPA_1972__16_3_133_0/

Bateman, H.,. 1929, Proc. Roy. Soc. Lond., vol. A 125, p. 598. | JFM

Bateman, H., 1944, Partial Differential Equations, Cambridge, University Press.

Cabannes, H., 1970, Theoretical Magnetofluiddynamics, New York, Academic Press.

Casal, P., 1966, J. Mécanique, t. 5, p. 149-161. | Zbl

Clebsch, A., 1859 a, J. Reine angew. Math., vol. 54, p. 293. | Zbl

Clebsch, A., 1859 b, J. Reine angew. Math., vol. 56, p. 1. | Zbl

Cosserat, E. And F., 1909, Théorie des Corps Déformables, Paris, Hermann. | JFM

De Groot, S.R., 1969, The Maxwell Equations, Amsterdam, North-Holland. | Zbl

Drobot, S. and Rybarski, A., 1958, Arch. Rat. Mech. Anal., vol. 2, p. 395-410. | MR | Zbl

Eckart, C., 1963, Phys. Fluids, vol. 6, p. 1037-1041. | MR

Ehlers, J., 1962, in Les Théories relativistes de la Gravitation, Colloque Royaumont, Paris, C. N. R. S., p. 275. | MR

Fokker, A.D., 1939, Physica (Holland), vol. 7, p. 791.

Fourès-Bruhat (Choquet-Bruhat), Y., 1962, in Les Théories relativistes de la Gravitation, Colloque Royaumont, Paris, C. N. R. S., p. 157.

Grot, R.A., 1970, J. Math. Physics, vol. 11, p. 109-113.

Grot, R.A. and Eringen, A.C., 1966 a, Int. J. Engng. Sci., vol. 4, p. 611-638. | MR

Grot, R.A. and Eringen, A.C., 1966 b, Int. J. Engng. Sci., vol. 4, p. 639-670. | MR

Herivel, J.W., 1955, Proc. Cambridge Phil. Soc., vol. 51, p. 344. | MR | Zbl

Lamb, H., 1932, Hydrodynamics (6th edition), Cambridge, University Press. | JFM | MR

Landau, L.D. and Lifshitz, E.M., 1959, Fluid Mechanics, Reading, Addison-Wesley.

Landau, L.D. and Lifshitz, E.M., 1960, Electrodynamics of Continuous Media, Oxford, Pergamon. | MR | Zbl

Landau, L.D. and Lifshitz, E.M., 1962, The Classical Theory of Fields, Oxford, Pergamon. | MR | Zbl

Lichnerowicz, A., 1955, Les Théories relativistes de la Gravitation et de l'Électromagnétisme, Paris, Masson. | Zbl

Lichnerowicz, A., 1967, Relativistic Hydrodynamics and Magnetohydrodynamics, New York, Benjamin. | Zbl

Lin, C.C., 1963, in Proc. Int. School of Physics, Course 21, New York, Academic Press.

Lundgren, T.S., 1963, Phys. Fluids, vol. 7, p. 898-904. | MR

Maugin, G.A., 1970, C. R. Acad. Sc., t. 271, série A, p. 807-810. | Zbl

Maugin, G.A., 1971 a, C. R. Acad. Sc., t. 272, série A, p. 1482-1484. | MR

Maugin, G.A., 1971 b, C. R. Acad. Sc., t. 273, série A, p. 65-68. | MR

Maugin, G.A., 1971 c, C. R. Acad. Sc., t. 273, série A, p. 474-476. | MR | Zbl

Maugin, G.A., 1971 d, L'inégalité de Clausius-Duhem pour des milieux continus relativistes (C. R. Acad. Sc., t. 273, série A, p. 1010-1012). | MR | Zbl

Maugin, G.A., 1971 e, Sur la transformation de Clebsch et l'hydrodynamique relativiste (C. R. Acad. Sc., t. 274, série A, p. 218-220). | MR

Maugin, G.A., 1971 f, Micromagnetism and Polar Media (Ph. D. Dissertation, Princeton University, Princeton, U.S.A.).

Maugin, G.A., 1971 g, Ann. Inst. H. Poincaré, t. 15, p. 275-302. | Numdam | MR | Zbl

Maugin, G.A., 1972 a, Sur la transformation de Clebsch et la magnétohydrodynamique relativiste (C. R. Acad. Sc., t. 274, série A, p. 602-604). | MR

Maugin, G.A., 1972 b, Micromagnetism, in Continuum Physics, vol. 3, edited by A. C. Eringen, New York, Academic Press (to be published).

Maugin, G.A., 1972 c, Relativistic Theory of Magnetoelastic Interactions-I (J. Phys. A : Gen. Phys., vol. 5, in press).

Maugin, G.A., 1972 d, Acceleration Waves in Polar Media-I (Int. J. Nonlinear Mechanics, submitted for publication).

Maugin, G.A. and Eringen, A.C., 1972 a, Deformable Magnetically Saturared Media-I-Field Equations (J. Math. Physics, vol. 13, p. 143-155).

Maugin, G.A. and Eringen, A.C., 1972 b, Polarized Elastic Materials with Electronic Spin-A Relativistic Approach (J. Math. Physics, vol. 13, in press).

Maugin, G.A. and Eringen, A.C., 1972 c, Relativistic Continua with Directors (J. Math. Physics, vol. 13, in press).

Mitskevich, N., 1969, Physical Fields in the Theory of General Relativity, Editions of the U. S. S. R. Acad. of Sciences, Moscow (in russian).

Seliger, R.L. and Whitham, G.B., 1968, Proc. Roy. Soc. Lond., vol. A 305, p. 1-25. | Zbl

Sen, D.K., 1968, Fields and/or Particles, New York, Academic Press.

Serrin, J., 1959, Handbuch der Physik, Bd. VIII/1, Berlin, Springer-Verlag, p. 125. | MR

Sewell, M.J., 1969, Phil. Trans. Roy. Soc. Lond., vol. A 265, p. 319-351. | MR | Zbl

Tapia, R.A., 1971, in Nonlinear Functional Analysis and Applications, edited by L. B. Rall, New York, Academic Press, p. 45-101. | MR | Zbl

Taub, A.H., 1948, Phys. Rev., vol. 74, p. 328-334. | MR | Zbl

Taub, A.H., 1949, Proc. Symp. Appl. Math., vol. 1, p. 148. | MR | Zbl

Taub, A.H., 1954, Phys. Rev., vol. 94, p. 1468-1470. | MR

Taub, A.H., 1957, Illinois J. Math., vol. 1, p. 370-388. | MR | Zbl

Taub, A.H., 1969, in La magnétohydrodynamique classique et relativiste, Paris C. N. R. S., p. 189. | Zbl

Von Laüe, M., 1921, Relativitätstheorie, Braunschweig, Vieweg-Verlag.

Weber, J., 1961, General Relativity and Gravitational Waves, New York, Interscience Publ. | MR | Zbl

Wheeler, J.A., 1962, Geometrodynamics, New York, Academic Press. | Zbl

Wheeler, J.A., 1968, Relativity, Lecture notes, Princeton University.

Whitham, G.B., 1967, Proc. Roy. Soc. Lond., vol. A 299, p. 6. | Zbl

Yodzis, P., 1971, Phys. Rev., vol. B 3, p. 2941-2945.