Covariant radiation hydrodynamics

A. M. Anile; S. Pennisi; M. Sammartino

Annales de l'I.H.P. Physique théorique (1992)

  • Volume: 56, Issue: 1, page 49-74
  • ISSN: 0246-0211

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Anile, A. M., Pennisi, S., and Sammartino, M.. "Covariant radiation hydrodynamics." Annales de l'I.H.P. Physique théorique 56.1 (1992): 49-74. <http://eudml.org/doc/76560>.

@article{Anile1992,
author = {Anile, A. M., Pennisi, S., Sammartino, M.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {1},
pages = {49-74},
publisher = {Gauthier-Villars},
title = {Covariant radiation hydrodynamics},
url = {http://eudml.org/doc/76560},
volume = {56},
year = {1992},
}

TY - JOUR
AU - Anile, A. M.
AU - Pennisi, S.
AU - Sammartino, M.
TI - Covariant radiation hydrodynamics
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 56
IS - 1
SP - 49
EP - 74
LA - eng
UR - http://eudml.org/doc/76560
ER -

References

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  2. [2] A.M. Anile, S. Pennisi and M. Sammartino, A Thermodynamical Approach to Eddington Factors, J. Math. Phys. (submitted). Zbl0850.76881
  3. [3] J.L. Anderson and E.A. Spiegel, The moment Method in Relativistic Radiative Transfer, Ap. J., Vol. 171, 1972, p. 127. 
  4. [4] S.H. Hsieh and E.A. Spiegel, The Equations of Photohydrodynamics, Ap. J., Vol. 207, 1976, p. 244. MR421303
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  6. [6] A.M. Anile, Relativistic Fluids and Magnetofluids, Cambridge University Press, 1989. Zbl0701.76003
  7. [7] I.- Shih Liu, Method of Lagrange Multipliers for Exploitation of the Entropy Principle, Arch. Rat. Mech. Anal., Vol. 46, 1972, p. 131. Zbl0252.76003MR337164
  8. [8] K.O. Friedrichs, Symmetric Hyperbolic Linear Differential Equations, Comm. Pure Appl. Math., Vol. 7, 1954, p. 345. Zbl0059.08902MR62932
  9. [9] K.O. Friedrichs and P.D. Lax, Systems of Conservation Equations with a Convex Extension, Proc. Nat. Acad. Sci. U.S.A., Vol. 68, 1971, p. 1686. Zbl0229.35061MR285799
  10. [10] G. Boillat, Sur l'existence et la Recherche d'Equation de Conservation Supplémentaires pour les Systèmes Hyperboliques, C. R. Acad. Sci. Paris, T. 278, Series A, 1974, p. 909. Zbl0279.35058MR342870
  11. [11] T. Ruggeri, Struttura dei Sistemi alle Derivate Parziali compatibili con un Principio di Entropia, Suppl. B.U.M.I del G.N.F.M., Fisica Matematica, Vol. 4, 1985, p. 5. 
  12. [12] T. Ruggeri and A. Strumia, Main Field and Convex Covariant Density for Quasi-Linear Hyperbolic Systems; Relativistic Fluid Dynamics, Ann. Inst. H. Poincaré, Phys. Théor., Vol. 34, 1981, p. 165. Zbl0473.76126MR605357
  13. [13] S. Pennisi, Some Consideration on a Non-Linear Approach to Extended Thermodynamics, I.S.I.M.M., Symposium of Kinetic Theory and Extended Thermodynamics, Bologna, May 18-20, Pitagora EditriceBologna, 1987, p. 259. 
  14. [14] S. Pennisi, Some Representation Theorems in a 4-Dimensional Inner Product Space, Suppl. B.U.M.I. Fisica Matematica, Vol. 5, 1986, p. 191. Zbl0625.15020MR871934
  15. [15] S. Pennisi and M. Trovato, Mathematical Characterization of Functions Underlying the Principle of Relaticity, Le Matematiche (accepted). Zbl0746.15004
  16. [16] A. Strumia, Wave Propagation and Symmetric Hyperbolic Systems of Conservation Laws with Constrained Field Variables. II. Symmetric Hyperbolic Systems with Constrained Fields, Il Nuovo Cimento, Vol. 101, B, 1988, p. 19. MR955219
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  19. [19] B. Carter, Conductivity with Causality in Relativistic Hydrodynamics: the Regular Solution to Eckart's Problem, Preprint, 1987. 

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