@article{AIHPA_1976__24_3_213_0, author = {Maugin, G\'erard A.}, title = {Conditions de compatibilit\'e pour une hypersurface singuli\`ere en m\'ecanique relativiste des milieux continus}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {25}, year = {1976}, pages = {213-241}, mrnumber = {413994}, zbl = {0321.53021}, language = {fr}, url = {http://dml.mathdoc.fr/item/AIHPA_1976__24_3_213_0} }
Maugin, Gérard A. Conditions de compatibilité pour une hypersurface singulière en mécanique relativiste des milieux continus. Annales de l'I.H.P. Physique théorique, Tome 25 (1976) pp. 213-241. http://gdmltest.u-ga.fr/item/AIHPA_1976__24_3_213_0/
[1] | JFM 34.0793.06
, Leçons sur la propagation des ondes. Hermann, Paris, 1903.[2] Extended Compatibility Conditions for the Study of Surfaces of Discontinuity in Continuum Mechanics. Jl. Math. and Mech., v. 6, 1957, p. 311-322 ; Erratum, ibid., 1957, p. 907-908. | MR 86486 | Zbl 0077.37602
,[3] The Classical Field Theories. Handbuch der Physik, Bd. III/1, p. 266-793. Ed. S. Flugge, Springer-Verlag, Berlin, 1960. | MR 118005
et ,[4] | Zbl 0151.39401
, , et , Wave Propagation in Dissipative Materials. Springer-Verlag, Berlin, New York, 1965.[5] Acceleration Waves in Simple and Linear Viscoelastic Micropolar Materials. Int. Jl. Engng. Sci., v. 12, 1974, p. 143-157. | Zbl 0276.73003
,[6] On the Propagation and Decay of Gravitational Waves. J. Math. Anal. Appl., v. 3, 1961, p. 315-335. | MR 139474 | Zbl 0102.21404
,[7] Hypersurfaces in Einstein-Riemann Space and Their Compatibility Conditions. J. Math. Anal. Appl., v. 7, 1963, p. 225-246. | MR 157735 | Zbl 0115.43301
,[8] Théorie des rayons en hydrodynamique et magnétohydrodynamique relativistes. Ann. Inst. Henri Poincaré, v. 7, 1967, p. 271-302. | Numdam
,[9] Elasticity in General Relativity. Proc. Roy. Soc. London, t. 272A, 1963, p. 44-53. | MR 149930 | Zbl 0108.21603
,[10] Onde ordinarie di discontinuità nei mezzi elastici con deformazioni finite in relatività generale. Riv. Mat. Univ. Parma, v. 4, 1963, p. 23-40. | MR 171441 | Zbl 0131.43102
,[11] Relativistic Theory of the Propagation of Wave Fronts in Nonlinear Elastic Solids. Int. Jl. Engng. Sci., v. 6, 1968, p. 295-307.
,[12] Speed of Sound in High-pressure General Relativistic Solids. Phys. Rev., v. D7, 1973, p. 1590-1593.
,[13] Nonlinear Theory of Wave-front Propagation. Jl. Inst. Math. Applics, v. 1, 1965, p. 101-112. | MR 197018
et ,[14] Variational Principles in General Relativity (Lecture 3), in Relativistic Fluid Dynamics, Proc. C. I. M. E., Bressanone, 1970, Ed. C. Cattaneo, Cremonese, Rome, 1971. | MR 290763
,[15] Relativistic Theory of Magnetoelastic Interactions-I, J. Phys. A. Gen., v. 5, 1972, p. 786-802 [et les articles suivants de cette série : ibid., v. 6, 1973, p. 306-321, p. 1647-1666 ; v. 7, 1974, p. 818-856. | MR 406315
,[16] Sur les fluides relativistes à spin. Ann. Inst. Henri Poincaré, v. 20, n° 1, 1974, p. 41-68. | Numdam | MR 356824 | Zbl 0289.76062
,[17] Ondes de choc, ondes infinitésimales et rayons en hydrodynamique et en magnétohydrodynamique relativistes, in Relativistic Fluid Dynamics, p. 87-203. Proc. C. I. M. E., Bressanone, 1970. Ed. C. Cattaneo, Cremonese, Rome, 1971. | MR 297295
,[18] Relativistic Hydrodynamics, Lectures in Applied Mathematics, Vol. 8, p. 170-193, Amer. Math. Soc. Providence, R. I., 1967.
,[19] Ricci Calculus. Springer-Verlag, Berlin, 1954. | MR 516659 | Zbl 0057.37803
,[20] Champ des déformations d'un milieu continu dans l'espace-temps de Minkowski. C. R. Acad. Sci. Paris, t. 273A, 1971, p. 65-68.
,[21] An Action Principle in General Relativistic Magnetohydrodynamics. Ann. Inst. Henri Poincaré, v. 16, 1972, p. 133-169. | Numdam | MR 302062 | Zbl 0245.76088
,[22] Concepts from Tensor Analysis and Differential Geometry, 2nd Edition, Academic Press, New York, 1963. | MR 187169 | Zbl 0127.12002
,[23] Riemannian Geometry. Princeton Univ. Press, Princeton, N. J., 1926. | JFM 52.0721.01
,[24] Constitutive Equations for Heat Conduction in General Relativity. J. Phys. A. Math., v. 7, 1974, p. 465-484. | MR 411540
,[25] Singular Surfaces in Linear Thermoelasticity. Int. Jl. Engng. Sci., v. 3, 1965, p. 561-595. | MR 189349
et ,[26] Théories relativistes de la gravitation et de l'électromagnétisme. Masson, Paris, 1955. | Zbl 0065.20704
,[27] Gravitational Characteristic Waves in Relativistic Equilibrium Fluids, in Fluides et champ gravitationnel en relativité générale. Coll. Intern. C. N. R. S., 1967. Éditions C. N. R. S., Paris, 1969. | MR 246618
,[28] | MR 123651
, et , Advanced Calculus. Van Nostrand, Princeton, N. J., 1959.[29] Jump Conditions at Discontinuities in General Relativity. Comm. of the Dublin Inst. for Adv. Studies, Série A, v. 9, 1953. | Zbl 0047.20802
et ,[30] Singular Hypersurfaces in General Relativity. Ill. J. of Math., v. 1, 1957, p. 370-388. | MR 90445 | Zbl 0077.42102
,[31] Discontinuities in Spherically Symmetric Gravitational Fields and Shells of Radiation. Proc. Roy. Soc. London, t. A248, 1958, p. 404-414. | MR 106073 | Zbl 0094.23202
,[32] Fluides chargés de conductivité infinie. C. R. Acad. Sci. Paris, 4 mai 1958, n° 18.
,[33] Ondes de choc en magnétohydrodynamique relativiste. Ann. Inst. Henri Poincaré, v. 5, 1966, p. 37-75. | Numdam | Zbl 0144.24002
,[34] Formulation relativiste des lois physiques en relativité générale. Cours professé au Collège de France, 1961-1962 (polycopié).
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