Maximum entropy principle in relativistic radiation hydrodynamics
Annales de l'I.H.P. Physique théorique, Volume 67 (1997) no. 2, p. 123-144
@article{AIHPA_1997__67_2_123_0,
     author = {Mascali, Giovanni and Romano, Vittorio},
     title = {Maximum entropy principle in relativistic radiation hydrodynamics},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {67},
     number = {2},
     year = {1997},
     pages = {123-144},
     zbl = {0884.76101},
     mrnumber = {1472565},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1997__67_2_123_0}
}
Mascali, Giovanni; Romano, Vittorio. Maximum entropy principle in relativistic radiation hydrodynamics. Annales de l'I.H.P. Physique théorique, Volume 67 (1997) no. 2, pp. 123-144. http://www.numdam.org/item/AIHPA_1997__67_2_123_0/

[1] L.S. Shapiro and S.A. Teukolsky, Black holes, White Dwarfs and Neutron Star, John Wiley and Sons, 1983.

[2] S.W. Bruenn, Stellar Core Collapse: Numerical Model and Infall Epoch, Ap. J., Vol. 58, 1985, pp. 771-841.

[3] A. Mezzacappa and R. Matzner, Computer Simulation of time-dependent, spherically symmetric space-time containing radiating fluids: formalism and code tests, Ap. J., Vol. 343, 1989, pp. 853-873. | MR 1010504

[4] A. Mezzacappa and S. Bruenn, A numerical method for solving the neutrino Boltzmann equation coupled to spherically symmetric stellar core collaps, Ap. J., Vol. 405, 1993. pp. 669-684.

[5] D. Mihalas and B.W. Mihalas, Foundation of Radiation Hydrodynamics. Oxford University Press, 1984. | MR 781346 | Zbl 0651.76005

[6] S.R. De Groot, W.A. Van Leeuven and Ch.G. Van Weert, Relativistic Kinetic theory. North-Holland, 1980. | MR 635279

[7] W. Israel, Covariant fluid mechanics and thermodynamics: an introduction, in Relativistic Fluid Dynamics, pp. 152-210, edited by A. M. Anile and Y. Choquet-Bruhat, Springer-Verlag, 1987. | MR 1024357

[8] W. Israel and J.M. Stewart, Transient relativistic Thermodynamics and kinetic theory. Ann. Phys., Vol. 118, 1979, pp. 341-372. | MR 533772

[9] W.A. Hiscock and L. Lindblom, Stability and causality in dissipative relativistic fluids, Ann. Phvs., Vol. 151, 1983, pp. 466-496. | MR 727337 | Zbl 0536.76126

[10] N. Udey and W. Israel, General relativistic radiative transfer: The 14 moment approximation, Mon. Not. R. Astr. Soc., Vol. 199, 1982, pp. 1137-1147.

[11] D. Jou, J. Casaz-Vázquez and G. Lebon, Extended Irreversible Thermodynamics. Springer-Verlag, Berlin, 1993. | MR 1271780 | Zbl 0785.73002

[12] M.A. Schweizer, Relativistic radiative hydrodinamics, Ann. Phys., Vol. 183, 1988, pp. 80-121. | MR 952874 | Zbl 0633.76130

[ 13] I. Müller, Thermodynamics, Pitman, Boston, 1985. | Zbl 0637.73002

[ 14] I. Müller and T. Ruggeri, Extended Thermodynamics, Springer, Berlin, 1993. | MR 1269783 | Zbl 0801.35141

[15] A.M. Anile, S. Pennisi and M. Sammartino, Covariant radiation hydrodinamics, Ann. Inst. H. Poin., Vol. 56, 1992, pp. 49-74. | Numdam | MR 1149868 | Zbl 0800.76027

[16] C.D. Levermore, Relating Eddington factors to flux limiters, J.Q.S.R.T., Vol. 31, 1984, pp. 149-160.

[17] S.K. Thorne, Relativistic radiative transfer: moment formalism, Mon. Not. R. Soc., Vol. 194, 1981, pp. 439-473. | MR 602108 | Zbl 0453.76108

[18] W. Dreyer and H. Struchtrup, heat pulse experiments revisited, Con. Mech. Thermdyn., Vol. 5, 1993, pp. 3-50. | MR 1207459

[19] C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, Freeman, S. Francisco, 1973. | MR 418833

[20] J. Ehlers, General Relativity and kinetic theory in Rendiconti della Scuola Internazionale di Fisica Enrico Fermi, XLVII Corso, pp. 1-70, Academic Press, New York, 1971. | MR 351370

[21] K.O. Friedrichs and P.D. Lax, System of conservation equations with a convex extension, Proceedings of the National Academy of Science U. S. A., Vol. 68, 1971, pp. 1686-8. | MR 285799 | Zbl 0229.35061

[22] K.O. Friedrichs, Symmetric hyperbolic linear differential equations, Communication on Pure and Applied Mathematics, Vol. 31, 1978, pp. 123-131.

[23] G. Boillat, Sur 1'existence et la recherche d'equations de conservation supplémentaires pour les systemes hyperbolique, C. R. Acad. Sc., Paris, Vol. 278 A, 1974, pp. 909-912. | MR 342870 | Zbl 0279.35058

[24] G. Boillat, Sur une fonction croissante comme I' entropie et génératrice des chocs dans les systèmes hyperbolique, C. R. Acad. Sc., Paris, Vol. 283A , 1976, pp. 409-412. | MR 421293 | Zbl 0336.35071

[25] T. Ruggeri and A. Strumia, Main field and convex covariant density for quasilinear hyperbolic systems, Annales de l'Institut Henri Poincaré, Physique theorique, Vol. 34. 1981, pp. 65-84. | Numdam | MR 605357 | Zbl 0473.76126

[26] A.M. Anile, Relativistic Fluids and Magneto-Fluids, Cambridge University Press. Cambridge, 1989. | Zbl 0701.76003

[27] A. Fisher and D.P. Marsden, The Einstein evolution equation as a first order quasilinear symmetric hyperbolic system, Communication on Mathematical Physics, Vol. 28, 1972. pp. 1-38. | MR 309507

[28] J. Oxenius, Kinetic Theory of Particles and Photons, Springer-Verlag, Berlin, 1986. | MR 835211