On the mathematical structure of test relativistic magnetofluiddynamics

A. M. Anile; S. Pennisi

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 46, Issue: 1, page 27-44
  • ISSN: 0246-0211

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Anile, A. M., and Pennisi, S.. "On the mathematical structure of test relativistic magnetofluiddynamics." Annales de l'I.H.P. Physique théorique 46.1 (1987): 27-44. <http://eudml.org/doc/76350>.

@article{Anile1987,
author = {Anile, A. M., Pennisi, S.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {covariant formulation; test-relativistic magneto-fluid-dynamics; Friedrich's quasi-linear hyperbolic systems; hyperbolicity problem; eigenvectors; characteristic matrix; symmetric hyperbolic system; entropy supplementary conservation law; spacetime foliation},
language = {eng},
number = {1},
pages = {27-44},
publisher = {Gauthier-Villars},
title = {On the mathematical structure of test relativistic magnetofluiddynamics},
url = {http://eudml.org/doc/76350},
volume = {46},
year = {1987},
}

TY - JOUR
AU - Anile, A. M.
AU - Pennisi, S.
TI - On the mathematical structure of test relativistic magnetofluiddynamics
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 46
IS - 1
SP - 27
EP - 44
LA - eng
KW - covariant formulation; test-relativistic magneto-fluid-dynamics; Friedrich's quasi-linear hyperbolic systems; hyperbolicity problem; eigenvectors; characteristic matrix; symmetric hyperbolic system; entropy supplementary conservation law; spacetime foliation
UR - http://eudml.org/doc/76350
ER -

References

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  1. [1] J.D. Bekenstein and E. Oron, Interior magnetohydrodynamic structure of a rotating relativistic star, Physical Review D., t. 19, 1979, p. 2827. 
  2. [2] M.C. Begelmann, R.D. Blandford and M. Rees, Theory of extragalactic radio sources, Review of Modern Physics, t. 15, 1984, p. 255. 
  3. [3] K. Maeda and K. Oohara, General relativistic collapse of rotating star with magnetic fields, Progress of theoretical Physics, t. 68, 1982, p. 567. 
  4. [4] P.J.E. Peebles, The large-scale structure of the universe, Princeton University press, Princeton, 1980. MR647948
  5. [5] R. Taussig, Shock wave production of relativistic plasmas, in M. J. LIGHTHILL, I. Imai and H. Sato (eds.), Dynamics of ionized gases, University of Tokyo Press, Tokyo, 1973. 
  6. [6] A. Lichnerowicz, Relativistic hydrodynamics and magnetohydrodynamics, W. A. Benjamin, inc., New York, 1967. Zbl0193.55401
  7. [7] K.O. Friedrichs, On the laws of relativistic electromagneto-fluid dynamics, Comm. Pure Appl. Math., t. 27, 1974, p. 749. Zbl0308.76075MR375928
  8. [8] A.M. Anile and A. Greco, Asymptotic waves and critical time in general relativistic magnetohydrodynamics, Ann. Inst. Henri Poincaré, t. XXIX, 1978, p. 257. Zbl0403.76087MR519695
  9. [9] T. Ruggeri and A. Strumia, Convex covariant entropy density, symmetric conservative form, and shock waves in relativistic magnetohydrodynamics, J. Math. Phys., t. 22, 1981, p. 1824. Zbl0469.76130MR628566
  10. [10] A. Majda, Compressible fluid flow and systems of conservation laws in several space variables, Springer-Verlag, New York, 1984. Zbl0537.76001MR748308
  11. [11] G. Boillat, Urti, article in Wave propagation, Liguori, Naples, 1982. 
  12. [12] I-Shih Liu, Method of Lagrange Multipliers for Exploitation of the entropy principle, Arch. Rational Mech. Anal., t. 46, 1972, p. 131. Zbl0252.76003MR337164
  13. [13] L.D. Landau and E.M. Lifshitz, Course of theoretical physics, t. 5: Statistical Physics, London, Pergamon Press, 1959. Zbl0080.19702MR586944

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