Evolution of shock waves in relativistic continuum mechanics

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1. [1] S.R. Brinkley and J.C. Kirkwood, Theory of the propagation of shock waves, Phys. Rev., t. 71, 1947, p. 606. Zbl0035.25903MR22508
2. [2] G. Boillat, La propagation des ondes, Paris, Gauthier-Villars, 1965. Zbl0151.45104MR197989
3. [3] A. Jeffrey, Quasilinear hyperbolic systems and waves, London, Pitman, 1976. Zbl0322.35060MR417585
4. [4] C. Cattaneo, Elementi di teoria della propagazione ondosa, Bologna, Pitagora Editrice, 1981. Zbl0511.73027MR739154
5. [5] C. Truesdell and R.A. Toupin, The classical field theories, in Handbuch der Physik, vol. 111/1, Berlin, Springer-Verlag, 1960. MR118005
6. [6] M.F. Mccarthy, Singular surfaces and waves, in Continuum physics, ed. A. Cemal Eringen, New York, Academic Press, 1975. 
7. [7] P.J. Chen, Selected topics in wave propagation, Leyden, Noordhoff, 1976. Zbl0369.73024
8. [8] R.A. Gross, The physics of strong shock waves in gases, in Physics of High Energy density, ed. P. Caldirola and H. Knoepfel, New York, Academic Press, 1971. 
9. [9] R. Taussig, Shock wave production of relativistic plasmas, in Dynamics of ionized gases, ed. M. J. Lighthill, I. Imai, H. Sato, New York, Academic Press, 1973. 
10. [10] G. Maugin, Wave motion in magnetizable deformable solids, Int. J. Engng. Sci., t. 19, 1981, p. 321-388. Zbl0463.73133MR660554
11. [11] S. Falk and W.D. Arnett, Radiation dynamics, Envelope ejection and Super–nova light curves, Ap. J. suppl., t. 33, 1977, p. 515. 
12. [12] P. Shapiro, Relativistic blast waves in two dimensions, I., the adiabatic case, Ap. J., t. 233, 1979, p. 831-850. 
13. [13] E.P.T. Liang, Relativistic simple waves: shock damping and entropy production, Ap. J., t. 211, 1977, p. 361-376. 
14. [14] A.M. Anile, J.C. Miller and S. Motta, Damping of relativistic shocks in an expanding universe, Lett. Nuovo Cimento, t. 29, 1980, p. 268. 
15. [15] A.M. Anile, J.C. Miller and S. Motta, Formation and damping of relativistic strong shocks, Phys. Fluids, t. 26, 1983, p. 1450. Zbl0528.76127
16. [16] A. Lanza, J.C. Miller and S. Motta, Relativistic shocks in a Synge gas, Lett. Nuovo Cimento, t. 35, 1982, p. 309. Zbl0567.76128
17. [17] M. Modugno and G. Stefani, On ghe geometrical structure of shock waves in general relativity, Ann. Inst. Henri Poincaré, t. 30, 1979, p. 27-50. Zbl0418.76093MR535046
18. [18] G. Maugin, Conditions de compatibilité pour une hypersurface singulière en mécanique relativiste des milieux continus, Ann. Inst. Henri Poincaré, t. 24, 1976, p. 213-241. Zbl0321.53021MR413994
19. [19] A.M. Anile, A geometric characterization of the compatibility relations for regularly discontinuous tensor fields, preprint, University of Catania, 1983. 
20. [20] A. Lichnerowicz, Ondes des chocs, ondes infinitésimales et rayons en hydrodynamique et magnétohydrodynamique relativistes, in Relativistic fluid dynamics, ed. C. Cattaneo, Rome, Edizioni Cremonese, 1971. MR297295
21. [21] A.H. Taub, Relativistic fluid mechanics, in Ann. Rev. Fluid. Mech., t. 10, 1978, p.301-332. Zbl0403.76097MR489736
22. [22] S.W. Hawking and G.F.R. Ellis, The large scale structure of space-time, Cambridge, 1973. Zbl0265.53054MR424186
23. [23] E.P.T. Liang and K. Baker, Damping or relativistic shocks, Phys. Rev. Lett., t. 39, 1977, p. 191.