@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/
Proc. Roy. Soc. Lond., vol. A 125, p. 598. | JFM
,. 1929,Partial Differential Equations, Cambridge, University Press.
, 1944,Theoretical Magnetofluiddynamics, New York, Academic Press.
, 1970,J. Mécanique, t. 5, p. 149-161. | Zbl
, 1966,J. Reine angew. Math., vol. 54, p. 293. | Zbl
, 1859 a,J. Reine angew. Math., vol. 56, p. 1. | Zbl
, 1859 b,Théorie des Corps Déformables, Paris, Hermann. | JFM
, 1909,The Maxwell Equations, Amsterdam, North-Holland. | Zbl
, 1969,Arch. Rat. Mech. Anal., vol. 2, p. 395-410. | MR | Zbl
and , 1958,Phys. Fluids, vol. 6, p. 1037-1041. | MR
, 1963,Les Théories relativistes de la Gravitation, Colloque Royaumont, Paris, C. N. R. S., p. 275. | MR
, 1962, inPhysica (Holland), vol. 7, p. 791.
, 1939,Les Théories relativistes de la Gravitation, Colloque Royaumont, Paris, C. N. R. S., p. 157.
, 1962, inJ. Math. Physics, vol. 11, p. 109-113.
, 1970,Int. J. Engng. Sci., vol. 4, p. 611-638. | MR
and , 1966 a,Int. J. Engng. Sci., vol. 4, p. 639-670. | MR
and , 1966 b,Proc. Cambridge Phil. Soc., vol. 51, p. 344. | MR | Zbl
, 1955,Hydrodynamics (6th edition), Cambridge, University Press. | JFM | MR
, 1932,Fluid Mechanics, Reading, Addison-Wesley.
and , 1959,Electrodynamics of Continuous Media, Oxford, Pergamon. | MR | Zbl
and , 1960,The Classical Theory of Fields, Oxford, Pergamon. | MR | Zbl
and , 1962,Les Théories relativistes de la Gravitation et de l'Électromagnétisme, Paris, Masson. | Zbl
, 1955,Relativistic Hydrodynamics and Magnetohydrodynamics, New York, Benjamin. | Zbl
, 1967,Proc. Int. School of Physics, Course 21, New York, Academic Press.
, 1963, inPhys. Fluids, vol. 7, p. 898-904. | MR
, 1963,C. R. Acad. Sc., t. 271, série A, p. 807-810. | Zbl
, 1970,C. R. Acad. Sc., t. 272, série A, p. 1482-1484. | MR
, 1971 a,C. R. Acad. Sc., t. 273, série A, p. 65-68. | MR
, 1971 b,C. R. Acad. Sc., t. 273, série A, p. 474-476. | MR | Zbl
, 1971 c,L'inégalité de Clausius-Duhem pour des milieux continus relativistes (C. R. Acad. Sc., t. 273, série A, p. 1010-1012). | MR | Zbl
, 1971 d,Sur la transformation de Clebsch et l'hydrodynamique relativiste (C. R. Acad. Sc., t. 274, série A, p. 218-220). | MR
, 1971 e,Micromagnetism and Polar Media (Ph. D. Dissertation, Princeton University, Princeton, U.S.A.).
, 1971 f,15, p. 275-302. | Numdam | MR | Zbl
, 1971 g, Ann. Inst. H. Poincaré, t.Sur la transformation de Clebsch et la magnétohydrodynamique relativiste (C. R. Acad. Sc., t. 274, série A, p. 602-604). | MR
, 1972 a,Micromagnetism, in Continuum Physics, vol. 3, edited by A. C. Eringen, New York, Academic Press (to be published).
, 1972 b,Relativistic Theory of Magnetoelastic Interactions-I (J. Phys. A : Gen. Phys., vol. 5, in press).
, 1972 c,Acceleration Waves in Polar Media-I (Int. J. Nonlinear Mechanics, submitted for publication).
, 1972 d,Deformable Magnetically Saturared Media-I-Field Equations (J. Math. Physics, vol. 13, p. 143-155).
and , 1972 a,Polarized Elastic Materials with Electronic Spin-A Relativistic Approach (J. Math. Physics, vol. 13, in press).
and , 1972 b,Relativistic Continua with Directors (J. Math. Physics, vol. 13, in press).
and , 1972 c,Physical Fields in the Theory of General Relativity, Editions of the U. S. S. R. Acad. of Sciences, Moscow (in russian).
, 1969,Proc. Roy. Soc. Lond., vol. A 305, p. 1-25. | Zbl
and , 1968,Fields and/or Particles, New York, Academic Press.
, 1968,Handbuch der Physik, Bd. VIII/1, Berlin, Springer-Verlag, p. 125. | MR
, 1959,Phil. Trans. Roy. Soc. Lond., vol. A 265, p. 319-351. | MR | Zbl
, 1969,Nonlinear Functional Analysis and Applications, edited by L. B. Rall, New York, Academic Press, p. 45-101. | MR | Zbl
, 1971, inPhys. Rev., vol. 74, p. 328-334. | MR | Zbl
, 1948,Proc. Symp. Appl. Math., vol. 1, p. 148. | MR | Zbl
, 1949,Phys. Rev., vol. 94, p. 1468-1470. | MR
, 1954,Illinois J. Math., vol. 1, p. 370-388. | MR | Zbl
, 1957,La magnétohydrodynamique classique et relativiste, Paris C. N. R. S., p. 189. | Zbl
, 1969, inRelativitätstheorie, Braunschweig, Vieweg-Verlag.
, 1921,General Relativity and Gravitational Waves, New York, Interscience Publ. | MR | Zbl
, 1961,Geometrodynamics, New York, Academic Press. | Zbl
, 1962,Relativity, Lecture notes, Princeton University.
, 1968,Proc. Roy. Soc. Lond., vol. A 299, p. 6. | Zbl
, 1967,Phys. Rev., vol. B 3, p. 2941-2945.
, 1971,