@article{AIHPA_1993__58_3_343_0,
author = {Pennisi, Sebastiano},
title = {A covariant and extended model for relativistic magnetofluiddynamics},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {59},
year = {1993},
pages = {343-361},
mrnumber = {1222947},
zbl = {0771.76078},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1993__58_3_343_0}
}
Pennisi, Sebastiano. A covariant and extended model for relativistic magnetofluiddynamics. Annales de l'I.H.P. Physique théorique, Tome 59 (1993) pp. 343-361. http://gdmltest.u-ga.fr/item/AIHPA_1993__58_3_343_0/
[1] and , Convex covariant entropy density, symmetric conservative form, and shock waves in relativistic magnetohydrodynamics, J. Math. Phys., 22, 1981, p. 1824. | MR 628566 | Zbl 0469.76130
[2] and , On the mathematical structure of test relativistic magneto-fluidynamics, Ann. Inst. Henri Poincaré, 46, 1987, p. 27. | Numdam | MR 877994 | Zbl 0618.76132
[3] , Wave propagation and symmetric hyperbolic systems of conservation laws with constrained field variables. I. - Wave propagation with constrained fields, Il Nuovo Cimento, 101 B, 1988, p. 1. | MR 955218
[4] , Wave propagation and symmetric hyperbolic systems of conservation laws with constrained field variables. II. - Symmetric hyperbolic systems with constrained fields, Il Nuovo Cimento, 101 B, 1988, p. 19. | MR 955219
[5] and , Extended thermodynamics of classical and degenerate ideal gases, Arch. Rational Mech. Anal., 83, 1983, p. 285. | MR 714978 | Zbl 0554.76014
[6] , and , Relativistic thermodynamics of gases, Ann. of Phys., 169, 1986, p. 191. | MR 846050
[7] , Method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rational Mech. Anal., 46, 1972, p. 131. | MR 337164 | Zbl 0252.76003
[8] , Symmetric hyperbolic linear differential equations, Comm. Pure Appl. Math., 7, 1954, p. 345. | MR 62932 | Zbl 0059.08902
[9] and , Systems of conservation equations with a convex extension, Proc. Nat. Acad. Sci. U.S.A., 68, 1971, p. 1686. | MR 285799 | Zbl 0229.35061
[10] , sur l'existence et la recherche d'équation de conservation supplémentaires pour les systèmes hyperboliques, C. R. Acad. Sci. Paris, 278, Series A, 1974, p. 909. | MR 342870 | Zbl 0279.35058
[11] , Struttura dei sistemi alle derivative parziali compatibiliti con un principio di entropia, Suppl. B.U.M.I. del G.N.F.M., Fisica Matematica, 4, 1985, p. 5.
[12] and , Main field and convex covariant density for quasi-linear hyperbolic systems; relativistic fluid dynamics, Ann. Inst. Henri Poincaré, Phys. Théor., 34, 1981, p.165. | Numdam | MR 605357 | Zbl 0473.76126
[13] and , Mathematical characterization of functions underlying the principle of relativity, Le Matematiche, XLIV, 1989, p. 173. | MR 1143459 | Zbl 0746.15004
[14] and , Wave and shock velocities in relativistic magnetohydrodynamics compared with the speed of light, Continuum Mech. Thermodyn, 1, 1989, p. 47. | MR 1001436 | Zbl 0760.76099
[15] , and , Covariant radiation hydrodynamics, Ann. Inst. Henri Poincaré, 56 (1), 1992, p. 49. | Numdam | MR 1149868 | Zbl 0800.76027
[16] , On the laws of relativistic electromagnetofluid dynamics, Comm. Pure Appl. Math., 27, 1974, p. 749. | MR 375928 | Zbl 0308.76075
[17] and , The Einstein evolution equations as a first order quasilinear symmetric hyperbolic system, Comm. Math. Phys., 28, 1972, p. 1. | MR 309507 | Zbl 0247.35082